🕷️ Crawler Inspector

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Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 68 (from laksa124)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa068.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://www.intmath.com/matrices-determinants/eigenvalues-eigenvectors-calculator.php\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.intmath.com/matrices-determinants/eigenvalues-eigenvectors-calculator.php\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.intmath.com\/matrices-determinants\/eigenvalues-eigenvectors-calculator.php","crawl_time":1775856207,"first_indexed_time":1564381052,"http_code":200,"src_unparsed":"com,intmath!www,\/matrices-determinants\/eigenvalues-eigenvectors-calculator.php s443","src_root_hash":"7687205540487634868","history_drop_reason":null,"meta_title":"Eigenvalues and eigenvectors calculator","meta_descriptions":["Eigenvalues and eigenvectors calculator. This solver handles 2x2, 3x3, 4x4 and up to 9x9 matrices."],"attrs_boilerpipe_text":"This calculator allows you to enter any square matrix from 2x2, 3x3, 4x4 all the way up to 9x9 size. It will find the\neigenvalues\nof that matrix, and also outputs the corresponding\neigenvectors\n.\nFor background on these concepts, see\n7. Eigenvalues and Eigenvectors\nInstructions\nFirst,\nchoose the matrix size\nyou want to enter. You will see a randomly generated matrix to give you an idea of what your output will look like.\nThen,\nenter your own numbers\nin the boxes that appear. You can enter\nintegers or decimals\n. (More advanced entry and output is in the works, but not available yet.)\nOn a keyboard, you can use the tab key to easily move to the next matrix entry box.\nClick\ncalculate\nwhen ready.\nThe\noutput\nwill involve either real and\/or complex eigenvalues and eigenvector entries.\nYou can change the\nprecision\n(number of significant digits) of the answers, using the pull-down menu.\nEigenvalues and eigenvectors calculator\nMatrix size:\nPrecision:\nNOTE 1:\nThe eigenvector output you see here may not be the same as what you obtain on paper. Remember, you can have any scalar multiple of the eigenvector, and it will still be an eigenvector. The convention used here is eigenvectors have been scaled so the final entry is\n1.\nNOTE 2:\nThe larger matrices involve a lot of calculation, so expect the answer to take a bit longer.\nNOTE 3:\nEigenvectors are usually column vectors, but the larger ones would take up a lot of vertical space, so they are written horizontally, with a \"T\" superscript (known as the\ntranspose\nof the matrix).\nNOTE 4:\nWhen there are complex eigenvalues, there's always an\neven number\nof them, and they always appear as a\ncomplex conjugate pair\n, e.g.\n3 + 5\ni\nand\n3 − 5\ni\n.\nNOTE 5:\nWhen there are eigenvectors with complex elements, there's always an\neven number\nof such eigenvectors, and the corresponding elements always appear as\ncomplex conjugate pairs\n. (It may take some manipulating by multiplying each element by a complex number to see this is so in some  cases.)\nCredit: This calculator was built using the\nNumeric.js library\n.","attrs_markdown":"[Skip to main content](https:\/\/www.intmath.com\/matrices-determinants\/eigenvalues-eigenvectors-calculator.php#maincolumn)\n\n[Interactive Mathematics](https:\/\/www.intmath.com\/)\n\n- [Home](https:\/\/www.intmath.com\/)\n- [Tutoring](https:\/\/www.intmath.com\/chat\/index2.html)\n  - [Features](https:\/\/www.intmath.com\/chat\/index2.html#details)\n  - [Reviews](https:\/\/www.intmath.com\/chat\/index2.html#reviews)\n  - [Pricing](https:\/\/www.intmath.com\/chat\/index2.html#price)\n  - [FAQ](https:\/\/www.intmath.com\/chat\/index2.html#faq)\n- [Problem Solver](https:\/\/www.intmath.com\/help\/ai-problem-solver-home.php)\n- [More](https:\/\/www.intmath.com\/matrices-determinants\/eigenvalues-eigenvectors-calculator.php)\n  - [Lessons](https:\/\/www.intmath.com\/lessons\/)\n  - [Forum](https:\/\/www.intmath.com\/forum\/)\n  - [Interactives](https:\/\/www.intmath.com\/help\/interactive-math-applications.php)\n  - [Blog](https:\/\/www.intmath.com\/blog\/)\n  - [Contact](https:\/\/www.intmath.com\/help\/about-us.php)\n  - [About](https:\/\/www.intmath.com\/help\/about-us.php)\n\n- [Search]()\n- [Login](https:\/\/app.intmath.com\/)\n- [Create Free Account](https:\/\/app.intmath.com\/create-account)\n\n- [Home](https:\/\/www.intmath.com\/)\n- [Tutoring](https:\/\/www.intmath.com\/chat\/index2.html)\n  - [Features](https:\/\/www.intmath.com\/chat\/index2.html#details)\n  - [Reviews](https:\/\/www.intmath.com\/chat\/index2.html#reviews)\n  - [Pricing](https:\/\/www.intmath.com\/chat\/index2.html#price)\n  - [FAQ](https:\/\/www.intmath.com\/chat\/index2.html#faq)\n- [Problem Solver](https:\/\/www.intmath.com\/help\/ai-problem-solver-home.php)\n- [More](https:\/\/www.intmath.com\/matrices-determinants\/eigenvalues-eigenvectors-calculator.php)\n  - [Lessons](https:\/\/www.intmath.com\/lessons\/)\n  - [Forum](https:\/\/www.intmath.com\/forum\/)\n  - [Interactives](https:\/\/www.intmath.com\/help\/interactive-math-applications.php)\n  - [Blog](https:\/\/www.intmath.com\/blog\/)\n  - [Contact](https:\/\/www.intmath.com\/help\/about-us.php)\n  - [About](https:\/\/www.intmath.com\/help\/about-us.php)\n\n- [Login](https:\/\/app.intmath.com\/)\n- [Create Free Account](https:\/\/app.intmath.com\/create-account)\n\n1. [Home](https:\/\/www.intmath.com\/)\n2. [Matrices and Determinants](https:\/\/www.intmath.com\/matrices-determinants\/matrix-determinant-intro.php)\n3. Eigenvalues and eigenvectors calculator\n\nOn this page\n\n- [Matrices and Determinants](https:\/\/www.intmath.com\/matrices-determinants\/matrix-determinant-intro.php)\n- [1\\. Determinants](https:\/\/www.intmath.com\/matrices-determinants\/1-determinants.php)\n- [Systems of 3x3 Equations interactive applet](https:\/\/www.intmath.com\/matrices-determinants\/systems-equations-interactive.php)\n- [2\\. Large Determinants](https:\/\/www.intmath.com\/matrices-determinants\/2-large-determinants.php)\n- [3\\. Matrices](https:\/\/www.intmath.com\/matrices-determinants\/3-matrices.php)\n- [4\\. Multiplication of Matrices](https:\/\/www.intmath.com\/matrices-determinants\/4-multiplying-matrices.php)\n- [4a. Matrix Multiplication examples](https:\/\/www.intmath.com\/matrices-determinants\/matrix-multiplication-examples.php)\n- [4b. Add & multiply matrices applet](https:\/\/www.intmath.com\/matrices-determinants\/matrix-addition-multiplication-applet.php)\n- [5\\. Finding the Inverse of a Matrix](https:\/\/www.intmath.com\/matrices-determinants\/5-inverse-matrix.php)\n- [5a. Simple Matrix Calculator](https:\/\/www.intmath.com\/matrices-determinants\/matrix-calculator.php)\n- [5b. Inverse of a Matrix using Gauss-Jordan Elimination](https:\/\/www.intmath.com\/matrices-determinants\/inverse-matrix-gauss-jordan-elimination.php)\n- [6\\. Matrices and Linear Equations](https:\/\/www.intmath.com\/matrices-determinants\/6-matrices-linear-equations.php)\n- [Matrices and Linear Transformations](https:\/\/www.intmath.com\/matrices-determinants\/matrices-linear-transformations.php)\n- [Eigenvalues and eigenvectors - concept applet](https:\/\/www.intmath.com\/matrices-determinants\/eigenvalues-eigenvectors-concept-applet.php)\n- [7\\. Eigenvalues and Eigenvectors](https:\/\/www.intmath.com\/matrices-determinants\/7-eigenvalues-eigenvectors.php)\n- [8\\. Applications of Eigenvalues and Eigenvectors](https:\/\/www.intmath.com\/matrices-determinants\/8-applications-eigenvalues-eigenvectors.php)\n- Eigenvalues and eigenvectors calculator\n\nRelated Sections\n\nMath Tutoring\n\nNeed help? Chat with a tutor anytime, 24\/7.\n\n[Chat now](https:\/\/www.intmath.com\/chat\/index2.html)\n\nOnline Algebra Solver\n\nSolve your algebra problem step by step\\!\n\n[Online Algebra Solver](https:\/\/www.intmath.com\/help\/problem-solver.php?psSubject=Algebra)\n\nIntMath Forum\n\nGet help with your math queries:\n\n[See Forum](https:\/\/www.intmath.com\/forum\/)\n\n# Eigenvalues and eigenvectors calculator\nThis calculator allows you to enter any square matrix from 2x2, 3x3, 4x4 all the way up to 9x9 size. It will find the **eigenvalues** of that matrix, and also outputs the corresponding **eigenvectors**.\n\nFor background on these concepts, see [7\\. Eigenvalues and Eigenvectors](https:\/\/www.intmath.com\/matrices-determinants\/7-eigenvalues-eigenvectors.php)\n\n## Instructions\nFirst, **choose the matrix size** you want to enter. You will see a randomly generated matrix to give you an idea of what your output will look like.\n\nThen, **enter your own numbers** in the boxes that appear. You can enter **integers or decimals**. (More advanced entry and output is in the works, but not available yet.)\n\nOn a keyboard, you can use the tab key to easily move to the next matrix entry box.\n\nClick **calculate** when ready.\n\nThe **output** will involve either real and\/or complex eigenvalues and eigenvector entries.\n\nYou can change the **precision** (number of significant digits) of the answers, using the pull-down menu.\n\n### Eigenvalues and eigenvectors calculator\nMatrix size: Precision:\n\ncalculate\n\n**NOTE 1:** The eigenvector output you see here may not be the same as what you obtain on paper. Remember, you can have any scalar multiple of the eigenvector, and it will still be an eigenvector. The convention used here is eigenvectors have been scaled so the final entry is 1\\.\n\n**NOTE 2:** The larger matrices involve a lot of calculation, so expect the answer to take a bit longer.\n\n**NOTE 3:** Eigenvectors are usually column vectors, but the larger ones would take up a lot of vertical space, so they are written horizontally, with a \"T\" superscript (known as the **transpose** of the matrix).\n\n**NOTE 4:** When there are complex eigenvalues, there's always an **even number** of them, and they always appear as a **complex conjugate pair**, e.g. 3 + 5*i* and 3 − 5*i*.\n\n**NOTE 5:** When there are eigenvectors with complex elements, there's always an **even number** of such eigenvectors, and the corresponding elements always appear as **complex conjugate pairs**. (It may take some manipulating by multiplying each element by a complex number to see this is so in some cases.)\n\nCredit: This calculator was built using the [Numeric.js library](https:\/\/github.com\/sloisel\/numeric).\n\n[8\\. Applications of Eigenvalues and Eigenvectors](https:\/\/www.intmath.com\/matrices-determinants\/8-applications-eigenvalues-eigenvectors.php)\n\n[Chapter home](https:\/\/www.intmath.com\/matrices-determinants\/matrix-determinant-intro.php)\n#### Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.\n[Interactive Mathematics](https:\/\/www.intmath.com\/)\n\nInstant step by step answers to your math homework problems. Improve your math grades today with unlimited math solutions.\n\n- [Instagram](https:\/\/www.instagram.com\/int.math)\n- [TikTok](https:\/\/www.tiktok.com\/@int_math)\n- [Facebook](https:\/\/www.facebook.com\/interactivemathematics)\n- [LinkedIn](https:\/\/www.linkedin.com\/company\/interactive-mathematics)\n\n- [About Us](https:\/\/www.intmath.com\/help\/about-us.php)\n- [Tutoring](https:\/\/www.intmath.com\/chat\/index2.html)\n- [Problem Solver](https:\/\/www.intmath.com\/help\/problem-solver.php)\n\n- [Testimonials](https:\/\/www.intmath.com\/help\/about-us.php)\n- [Affiliate Disclaimer](https:\/\/www.intmath.com\/help\/privacy.php)\n- [California Privacy Policy](https:\/\/www.intmath.com\/help\/privacy.php)\n\n- [Privacy Policy](https:\/\/www.intmath.com\/help\/privacy.php)\n- [Terms of Service](https:\/\/www.intmath.com\/chat\/terms-of-service.php)\n- [Contact](https:\/\/www.intmath.com\/help\/about-us.php)\n\n© 2026 Interactive Mathematics. All rights reserved.\n\n[top](https:\/\/www.intmath.com\/matrices-determinants\/eigenvalues-eigenvectors-calculator.php#top)","attrs_readable_markdown":"This calculator allows you to enter any square matrix from 2x2, 3x3, 4x4 all the way up to 9x9 size. It will find the **eigenvalues** of that matrix, and also outputs the corresponding **eigenvectors**.\n\nFor background on these concepts, see [7\\. Eigenvalues and Eigenvectors](https:\/\/www.intmath.com\/matrices-determinants\/7-eigenvalues-eigenvectors.php)\n\n## Instructions\nFirst, **choose the matrix size** you want to enter. You will see a randomly generated matrix to give you an idea of what your output will look like.\n\nThen, **enter your own numbers** in the boxes that appear. You can enter **integers or decimals**. (More advanced entry and output is in the works, but not available yet.)\n\nOn a keyboard, you can use the tab key to easily move to the next matrix entry box.\n\nClick **calculate** when ready.\n\nThe **output** will involve either real and\/or complex eigenvalues and eigenvector entries.\n\nYou can change the **precision** (number of significant digits) of the answers, using the pull-down menu.\n\n### Eigenvalues and eigenvectors calculator\nMatrix size: Precision:\n\n**NOTE 1:** The eigenvector output you see here may not be the same as what you obtain on paper. Remember, you can have any scalar multiple of the eigenvector, and it will still be an eigenvector. The convention used here is eigenvectors have been scaled so the final entry is 1\\.\n\n**NOTE 2:** The larger matrices involve a lot of calculation, so expect the answer to take a bit longer.\n\n**NOTE 3:** Eigenvectors are usually column vectors, but the larger ones would take up a lot of vertical space, so they are written horizontally, with a \"T\" superscript (known as the **transpose** of the matrix).\n\n**NOTE 4:** When there are complex eigenvalues, there's always an **even number** of them, and they always appear as a **complex conjugate pair**, e.g. 3 + 5*i* and 3 − 5*i*.\n\n**NOTE 5:** When there are eigenvectors with complex elements, there's always an **even number** of such eigenvectors, and the corresponding elements always appear as **complex conjugate pairs**. (It may take some manipulating by multiplying each element by a complex number to see this is so in some cases.)\n\nCredit: This calculator was built using the [Numeric.js library](https:\/\/github.com\/sloisel\/numeric).","meta_canonical":null}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

2 hours ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property	Value
URL	https://www.intmath.com/matrices-determinants/eigenvalues-eigenvectors-calculator.php
Last Crawled	2026-04-10 21:23:27 (2 hours ago)
First Indexed	2019-07-29 06:17:32 (6 years ago)
HTTP Status Code	200
Meta Title	Eigenvalues and eigenvectors calculator
Meta Description	Eigenvalues and eigenvectors calculator. This solver handles 2x2, 3x3, 4x4 and up to 9x9 matrices.
Meta Canonical	null
Boilerpipe Text	This calculator allows you to enter any square matrix from 2x2, 3x3, 4x4 all the way up to 9x9 size. It will find the eigenvalues of that matrix, and also outputs the corresponding eigenvectors . For background on these concepts, see 7. Eigenvalues and Eigenvectors Instructions First, choose the matrix size you want to enter. You will see a randomly generated matrix to give you an idea of what your output will look like. Then, enter your own numbers in the boxes that appear. You can enter integers or decimals . (More advanced entry and output is in the works, but not available yet.) On a keyboard, you can use the tab key to easily move to the next matrix entry box. Click calculate when ready. The output will involve either real and/or complex eigenvalues and eigenvector entries. You can change the precision (number of significant digits) of the answers, using the pull-down menu. Eigenvalues and eigenvectors calculator Matrix size: Precision: NOTE 1: The eigenvector output you see here may not be the same as what you obtain on paper. Remember, you can have any scalar multiple of the eigenvector, and it will still be an eigenvector. The convention used here is eigenvectors have been scaled so the final entry is 1. NOTE 2: The larger matrices involve a lot of calculation, so expect the answer to take a bit longer. NOTE 3: Eigenvectors are usually column vectors, but the larger ones would take up a lot of vertical space, so they are written horizontally, with a "T" superscript (known as the transpose of the matrix). NOTE 4: When there are complex eigenvalues, there's always an even number of them, and they always appear as a complex conjugate pair , e.g. 3 + 5 i and 3 − 5 i . NOTE 5: When there are eigenvectors with complex elements, there's always an even number of such eigenvectors, and the corresponding elements always appear as complex conjugate pairs . (It may take some manipulating by multiplying each element by a complex number to see this is so in some cases.) Credit: This calculator was built using the Numeric.js library .
Markdown	[Skip to main content](https://www.intmath.com/matrices-determinants/eigenvalues-eigenvectors-calculator.php#maincolumn) [Interactive Mathematics](https://www.intmath.com/) - [Home](https://www.intmath.com/) - [Tutoring](https://www.intmath.com/chat/index2.html) - [Features](https://www.intmath.com/chat/index2.html#details) - [Reviews](https://www.intmath.com/chat/index2.html#reviews) - [Pricing](https://www.intmath.com/chat/index2.html#price) - [FAQ](https://www.intmath.com/chat/index2.html#faq) - [Problem Solver](https://www.intmath.com/help/ai-problem-solver-home.php) - [More](https://www.intmath.com/matrices-determinants/eigenvalues-eigenvectors-calculator.php) - [Lessons](https://www.intmath.com/lessons/) - [Forum](https://www.intmath.com/forum/) - [Interactives](https://www.intmath.com/help/interactive-math-applications.php) - [Blog](https://www.intmath.com/blog/) - [Contact](https://www.intmath.com/help/about-us.php) - [About](https://www.intmath.com/help/about-us.php) - [Search]() - [Login](https://app.intmath.com/) - [Create Free Account](https://app.intmath.com/create-account) - [Home](https://www.intmath.com/) - [Tutoring](https://www.intmath.com/chat/index2.html) - [Features](https://www.intmath.com/chat/index2.html#details) - [Reviews](https://www.intmath.com/chat/index2.html#reviews) - [Pricing](https://www.intmath.com/chat/index2.html#price) - [FAQ](https://www.intmath.com/chat/index2.html#faq) - [Problem Solver](https://www.intmath.com/help/ai-problem-solver-home.php) - [More](https://www.intmath.com/matrices-determinants/eigenvalues-eigenvectors-calculator.php) - [Lessons](https://www.intmath.com/lessons/) - [Forum](https://www.intmath.com/forum/) - [Interactives](https://www.intmath.com/help/interactive-math-applications.php) - [Blog](https://www.intmath.com/blog/) - [Contact](https://www.intmath.com/help/about-us.php) - [About](https://www.intmath.com/help/about-us.php) - [Login](https://app.intmath.com/) - [Create Free Account](https://app.intmath.com/create-account) 1. [Home](https://www.intmath.com/) 2. [Matrices and Determinants](https://www.intmath.com/matrices-determinants/matrix-determinant-intro.php) 3. Eigenvalues and eigenvectors calculator On this page - [Matrices and Determinants](https://www.intmath.com/matrices-determinants/matrix-determinant-intro.php) - [1\. Determinants](https://www.intmath.com/matrices-determinants/1-determinants.php) - [Systems of 3x3 Equations interactive applet](https://www.intmath.com/matrices-determinants/systems-equations-interactive.php) - [2\. Large Determinants](https://www.intmath.com/matrices-determinants/2-large-determinants.php) - [3\. Matrices](https://www.intmath.com/matrices-determinants/3-matrices.php) - [4\. Multiplication of Matrices](https://www.intmath.com/matrices-determinants/4-multiplying-matrices.php) - [4a. Matrix Multiplication examples](https://www.intmath.com/matrices-determinants/matrix-multiplication-examples.php) - [4b. Add & multiply matrices applet](https://www.intmath.com/matrices-determinants/matrix-addition-multiplication-applet.php) - [5\. Finding the Inverse of a Matrix](https://www.intmath.com/matrices-determinants/5-inverse-matrix.php) - [5a. Simple Matrix Calculator](https://www.intmath.com/matrices-determinants/matrix-calculator.php) - [5b. Inverse of a Matrix using Gauss-Jordan Elimination](https://www.intmath.com/matrices-determinants/inverse-matrix-gauss-jordan-elimination.php) - [6\. Matrices and Linear Equations](https://www.intmath.com/matrices-determinants/6-matrices-linear-equations.php) - [Matrices and Linear Transformations](https://www.intmath.com/matrices-determinants/matrices-linear-transformations.php) - [Eigenvalues and eigenvectors - concept applet](https://www.intmath.com/matrices-determinants/eigenvalues-eigenvectors-concept-applet.php) - [7\. Eigenvalues and Eigenvectors](https://www.intmath.com/matrices-determinants/7-eigenvalues-eigenvectors.php) - [8\. Applications of Eigenvalues and Eigenvectors](https://www.intmath.com/matrices-determinants/8-applications-eigenvalues-eigenvectors.php) - Eigenvalues and eigenvectors calculator Related Sections Math Tutoring Need help? Chat with a tutor anytime, 24/7. [Chat now](https://www.intmath.com/chat/index2.html) Online Algebra Solver Solve your algebra problem step by step\! [Online Algebra Solver](https://www.intmath.com/help/problem-solver.php?psSubject=Algebra) IntMath Forum Get help with your math queries: [See Forum](https://www.intmath.com/forum/) # Eigenvalues and eigenvectors calculator This calculator allows you to enter any square matrix from 2x2, 3x3, 4x4 all the way up to 9x9 size. It will find the eigenvalues of that matrix, and also outputs the corresponding eigenvectors. For background on these concepts, see [7\. Eigenvalues and Eigenvectors](https://www.intmath.com/matrices-determinants/7-eigenvalues-eigenvectors.php) ## Instructions First, choose the matrix size you want to enter. You will see a randomly generated matrix to give you an idea of what your output will look like. Then, enter your own numbers in the boxes that appear. You can enter integers or decimals. (More advanced entry and output is in the works, but not available yet.) On a keyboard, you can use the tab key to easily move to the next matrix entry box. Click calculate when ready. The output will involve either real and/or complex eigenvalues and eigenvector entries. You can change the precision (number of significant digits) of the answers, using the pull-down menu. ### Eigenvalues and eigenvectors calculator Matrix size: Precision: calculate NOTE 1: The eigenvector output you see here may not be the same as what you obtain on paper. Remember, you can have any scalar multiple of the eigenvector, and it will still be an eigenvector. The convention used here is eigenvectors have been scaled so the final entry is 1\. NOTE 2: The larger matrices involve a lot of calculation, so expect the answer to take a bit longer. NOTE 3: Eigenvectors are usually column vectors, but the larger ones would take up a lot of vertical space, so they are written horizontally, with a "T" superscript (known as the transpose of the matrix). NOTE 4: When there are complex eigenvalues, there's always an even number of them, and they always appear as a complex conjugate pair, e.g. 3 + 5i and 3 − 5i. NOTE 5: When there are eigenvectors with complex elements, there's always an even number of such eigenvectors, and the corresponding elements always appear as complex conjugate pairs. (It may take some manipulating by multiplying each element by a complex number to see this is so in some cases.) Credit: This calculator was built using the [Numeric.js library](https://github.com/sloisel/numeric). [8\. Applications of Eigenvalues and Eigenvectors](https://www.intmath.com/matrices-determinants/8-applications-eigenvalues-eigenvectors.php) [Chapter home](https://www.intmath.com/matrices-determinants/matrix-determinant-intro.php) #### Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class. [Interactive Mathematics](https://www.intmath.com/) Instant step by step answers to your math homework problems. 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Readable Markdown	This calculator allows you to enter any square matrix from 2x2, 3x3, 4x4 all the way up to 9x9 size. It will find the eigenvalues of that matrix, and also outputs the corresponding eigenvectors. For background on these concepts, see [7\. Eigenvalues and Eigenvectors](https://www.intmath.com/matrices-determinants/7-eigenvalues-eigenvectors.php) ## Instructions First, choose the matrix size you want to enter. You will see a randomly generated matrix to give you an idea of what your output will look like. Then, enter your own numbers in the boxes that appear. You can enter integers or decimals. (More advanced entry and output is in the works, but not available yet.) On a keyboard, you can use the tab key to easily move to the next matrix entry box. Click calculate when ready. The output will involve either real and/or complex eigenvalues and eigenvector entries. You can change the precision (number of significant digits) of the answers, using the pull-down menu. ### Eigenvalues and eigenvectors calculator Matrix size: Precision: NOTE 1: The eigenvector output you see here may not be the same as what you obtain on paper. Remember, you can have any scalar multiple of the eigenvector, and it will still be an eigenvector. The convention used here is eigenvectors have been scaled so the final entry is 1\. NOTE 2: The larger matrices involve a lot of calculation, so expect the answer to take a bit longer. NOTE 3: Eigenvectors are usually column vectors, but the larger ones would take up a lot of vertical space, so they are written horizontally, with a "T" superscript (known as the transpose of the matrix). NOTE 4: When there are complex eigenvalues, there's always an even number of them, and they always appear as a complex conjugate pair, e.g. 3 + 5i and 3 − 5i. NOTE 5: When there are eigenvectors with complex elements, there's always an even number of such eigenvectors, and the corresponding elements always appear as complex conjugate pairs. (It may take some manipulating by multiplying each element by a complex number to see this is so in some cases.) Credit: This calculator was built using the [Numeric.js library](https://github.com/sloisel/numeric).
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