Find An Eigenvalue & Eigenvector from a given Eigenvalue and eigenvector The Next CEO of Stack OverflowEigenvector of A to given Eigenvalue which requires row swapping to get reduced echelon formGiven matrix A with eigenvalue $lambda$ and corresponding eigenvector x, prove $A^k$ has eigenvalue $lambda^k$How to find eigenvector of given matrix?Find orthogonal Q given eigenvalue and eigenvector?Find eigenvector and eigenvelue of 2 by 2 symmetric matrix, given another eigenvector and eigenvalueUnique Eigenvalue and Unique EigenvectorGiven eigenvalue and eigenvector Find $A^101 $Eigenvalue defined indirectly by eigenvector?Finding the eigenvector given eigenvalue and $A$?Question regarding the definition of eigenvalue and eigenvector
What would be the main consequences for a country leaving the WTO?
Why did early computer designers eschew integers?
Computationally populating tables with probability data
What does "shotgun unity" refer to here in this sentence?
TikZ: How to fill area with a special pattern?
Spaces in which all closed sets are regular closed
What happened in Rome, when the western empire "fell"?
What CSS properties can the br tag have?
What difference does it make using sed with/without whitespaces?
How to Implement Deterministic Encryption Safely in .NET
From jafe to El-Guest
Which Pokemon have a special animation when running with them out of their pokeball?
How do you define an element with an ID attribute using LWC?
Small nick on power cord from an electric alarm clock, and copper wiring exposed but intact
How to avoid supervisors with prejudiced views?
Getting Stale Gas Out of a Gas Tank w/out Dropping the Tank
What's the commands of Cisco query bgp neighbor table, bgp table and router table?
Can you teleport closer to a creature you are Frightened of?
Does higher Oxidation/ reduction potential translate to higher energy storage in battery?
How did Beeri the Hittite come up with naming his daughter Yehudit?
Is French Guiana a (hard) EU border?
What are the unusually-enlarged wing sections on this P-38 Lightning?
Why don't programming languages automatically manage the synchronous/asynchronous problem?
My ex-girlfriend uses my Apple ID to login to her iPad, do I have to give her my Apple ID password to reset it?
Find An Eigenvalue & Eigenvector from a given Eigenvalue and eigenvector
The Next CEO of Stack OverflowEigenvector of A to given Eigenvalue which requires row swapping to get reduced echelon formGiven matrix A with eigenvalue $lambda$ and corresponding eigenvector x, prove $A^k$ has eigenvalue $lambda^k$How to find eigenvector of given matrix?Find orthogonal Q given eigenvalue and eigenvector?Find eigenvector and eigenvelue of 2 by 2 symmetric matrix, given another eigenvector and eigenvalueUnique Eigenvalue and Unique EigenvectorGiven eigenvalue and eigenvector Find $A^101 $Eigenvalue defined indirectly by eigenvector?Finding the eigenvector given eigenvalue and $A$?Question regarding the definition of eigenvalue and eigenvector
$begingroup$
I was given a 3x3 matrix and I was given a complex Eigenvalue of -2+6i. They also gave me the eigenvector
[-6-2i]
[1]
[9i].
I have to find another eigenvector and eigenvalue that isn't given.
I attempted to use the formula Ax=lamdax. I was trying to solve for A with x being the eigenvector and lamda being -2+6i. That doesn't give me a matrix though. I'm lost.
linear-algebra eigenvalues-eigenvectors
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
$endgroup$
add a comment |
$begingroup$
I was given a 3x3 matrix and I was given a complex Eigenvalue of -2+6i. They also gave me the eigenvector
[-6-2i]
[1]
[9i].
I have to find another eigenvector and eigenvalue that isn't given.
I attempted to use the formula Ax=lamdax. I was trying to solve for A with x being the eigenvector and lamda being -2+6i. That doesn't give me a matrix though. I'm lost.
linear-algebra eigenvalues-eigenvectors
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
$endgroup$
2
$begingroup$
Hint: If the matrix has only real values, then another eigenvalue will be $lambda = -2 - 6i$ (the complex conjugate).
$endgroup$
– Hyperion
Mar 19 at 21:46
$begingroup$
Oh. I feel dumb, thank you. Simple and easy
$endgroup$
– Amy Kulp
Mar 19 at 21:49
add a comment |
$begingroup$
I was given a 3x3 matrix and I was given a complex Eigenvalue of -2+6i. They also gave me the eigenvector
[-6-2i]
[1]
[9i].
I have to find another eigenvector and eigenvalue that isn't given.
I attempted to use the formula Ax=lamdax. I was trying to solve for A with x being the eigenvector and lamda being -2+6i. That doesn't give me a matrix though. I'm lost.
linear-algebra eigenvalues-eigenvectors
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
$endgroup$
I was given a 3x3 matrix and I was given a complex Eigenvalue of -2+6i. They also gave me the eigenvector
[-6-2i]
[1]
[9i].
I have to find another eigenvector and eigenvalue that isn't given.
I attempted to use the formula Ax=lamdax. I was trying to solve for A with x being the eigenvector and lamda being -2+6i. That doesn't give me a matrix though. I'm lost.
linear-algebra eigenvalues-eigenvectors
linear-algebra eigenvalues-eigenvectors
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
asked Mar 19 at 21:44
Amy KulpAmy Kulp
426
426
2
$begingroup$
Hint: If the matrix has only real values, then another eigenvalue will be $lambda = -2 - 6i$ (the complex conjugate).
$endgroup$
– Hyperion
Mar 19 at 21:46
$begingroup$
Oh. I feel dumb, thank you. Simple and easy
$endgroup$
– Amy Kulp
Mar 19 at 21:49
add a comment |
2
$begingroup$
Hint: If the matrix has only real values, then another eigenvalue will be $lambda = -2 - 6i$ (the complex conjugate).
$endgroup$
– Hyperion
Mar 19 at 21:46
$begingroup$
Oh. I feel dumb, thank you. Simple and easy
$endgroup$
– Amy Kulp
Mar 19 at 21:49
2
2
$begingroup$
Hint: If the matrix has only real values, then another eigenvalue will be $lambda = -2 - 6i$ (the complex conjugate).
$endgroup$
– Hyperion
Mar 19 at 21:46
$begingroup$
Hint: If the matrix has only real values, then another eigenvalue will be $lambda = -2 - 6i$ (the complex conjugate).
$endgroup$
– Hyperion
Mar 19 at 21:46
$begingroup$
Oh. I feel dumb, thank you. Simple and easy
$endgroup$
– Amy Kulp
Mar 19 at 21:49
$begingroup$
Oh. I feel dumb, thank you. Simple and easy
$endgroup$
– Amy Kulp
Mar 19 at 21:49
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Like Hyperion said, the new eigenvalue is -2-6i, so the eigenvector is -6+2i,1,-9i
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
$endgroup$
$begingroup$
Please use the edit link on your question to add additional information. The Post Answer button should be used only for complete answers to the question. - From Review
$endgroup$
– clathratus
Mar 19 at 22:18
$begingroup$
@clathratus If I am not mistaken, this is a complete answer.
$endgroup$
– YiFan
Mar 19 at 22:20
$begingroup$
Then accept your answer.
$endgroup$
– clathratus
Mar 19 at 22:21
$begingroup$
@clathratus You can’t accept your own answer to a question until 48 hours have elapsed. You’d do well to familiarize yourself with these and other restrictions.
$endgroup$
– amd
Mar 19 at 23:06
add a comment |
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3154653%2ffind-an-eigenvalue-eigenvector-from-a-given-eigenvalue-and-eigenvector%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Like Hyperion said, the new eigenvalue is -2-6i, so the eigenvector is -6+2i,1,-9i
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
$endgroup$
$begingroup$
Please use the edit link on your question to add additional information. The Post Answer button should be used only for complete answers to the question. - From Review
$endgroup$
– clathratus
Mar 19 at 22:18
$begingroup$
@clathratus If I am not mistaken, this is a complete answer.
$endgroup$
– YiFan
Mar 19 at 22:20
$begingroup$
Then accept your answer.
$endgroup$
– clathratus
Mar 19 at 22:21
$begingroup$
@clathratus You can’t accept your own answer to a question until 48 hours have elapsed. You’d do well to familiarize yourself with these and other restrictions.
$endgroup$
– amd
Mar 19 at 23:06
add a comment |
$begingroup$
Like Hyperion said, the new eigenvalue is -2-6i, so the eigenvector is -6+2i,1,-9i
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
$endgroup$
$begingroup$
Please use the edit link on your question to add additional information. The Post Answer button should be used only for complete answers to the question. - From Review
$endgroup$
– clathratus
Mar 19 at 22:18
$begingroup$
@clathratus If I am not mistaken, this is a complete answer.
$endgroup$
– YiFan
Mar 19 at 22:20
$begingroup$
Then accept your answer.
$endgroup$
– clathratus
Mar 19 at 22:21
$begingroup$
@clathratus You can’t accept your own answer to a question until 48 hours have elapsed. You’d do well to familiarize yourself with these and other restrictions.
$endgroup$
– amd
Mar 19 at 23:06
add a comment |
$begingroup$
Like Hyperion said, the new eigenvalue is -2-6i, so the eigenvector is -6+2i,1,-9i
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
$endgroup$
Like Hyperion said, the new eigenvalue is -2-6i, so the eigenvector is -6+2i,1,-9i
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
answered Mar 19 at 21:50
Amy KulpAmy Kulp
426
426
$begingroup$
Please use the edit link on your question to add additional information. The Post Answer button should be used only for complete answers to the question. - From Review
$endgroup$
– clathratus
Mar 19 at 22:18
$begingroup$
@clathratus If I am not mistaken, this is a complete answer.
$endgroup$
– YiFan
Mar 19 at 22:20
$begingroup$
Then accept your answer.
$endgroup$
– clathratus
Mar 19 at 22:21
$begingroup$
@clathratus You can’t accept your own answer to a question until 48 hours have elapsed. You’d do well to familiarize yourself with these and other restrictions.
$endgroup$
– amd
Mar 19 at 23:06
add a comment |
$begingroup$
Please use the edit link on your question to add additional information. The Post Answer button should be used only for complete answers to the question. - From Review
$endgroup$
– clathratus
Mar 19 at 22:18
$begingroup$
@clathratus If I am not mistaken, this is a complete answer.
$endgroup$
– YiFan
Mar 19 at 22:20
$begingroup$
Then accept your answer.
$endgroup$
– clathratus
Mar 19 at 22:21
$begingroup$
@clathratus You can’t accept your own answer to a question until 48 hours have elapsed. You’d do well to familiarize yourself with these and other restrictions.
$endgroup$
– amd
Mar 19 at 23:06
$begingroup$
Please use the edit link on your question to add additional information. The Post Answer button should be used only for complete answers to the question. - From Review
$endgroup$
– clathratus
Mar 19 at 22:18
$begingroup$
Please use the edit link on your question to add additional information. The Post Answer button should be used only for complete answers to the question. - From Review
$endgroup$
– clathratus
Mar 19 at 22:18
$begingroup$
@clathratus If I am not mistaken, this is a complete answer.
$endgroup$
– YiFan
Mar 19 at 22:20
$begingroup$
@clathratus If I am not mistaken, this is a complete answer.
$endgroup$
– YiFan
Mar 19 at 22:20
$begingroup$
Then accept your answer.
$endgroup$
– clathratus
Mar 19 at 22:21
$begingroup$
Then accept your answer.
$endgroup$
– clathratus
Mar 19 at 22:21
$begingroup$
@clathratus You can’t accept your own answer to a question until 48 hours have elapsed. You’d do well to familiarize yourself with these and other restrictions.
$endgroup$
– amd
Mar 19 at 23:06
$begingroup$
@clathratus You can’t accept your own answer to a question until 48 hours have elapsed. You’d do well to familiarize yourself with these and other restrictions.
$endgroup$
– amd
Mar 19 at 23:06
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3154653%2ffind-an-eigenvalue-eigenvector-from-a-given-eigenvalue-and-eigenvector%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
2
$begingroup$
Hint: If the matrix has only real values, then another eigenvalue will be $lambda = -2 - 6i$ (the complex conjugate).
$endgroup$
– Hyperion
Mar 19 at 21:46
$begingroup$
Oh. I feel dumb, thank you. Simple and easy
$endgroup$
– Amy Kulp
Mar 19 at 21:49