Diagonalize matrix and find rotation-dilation matrix
$begingroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
asked Dec 15 '18 at 8:14
kelp99kelp99
13
$endgroup$
add a comment |
$begingroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
asked Dec 15 '18 at 8:14
kelp99kelp99
13
$endgroup$
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
add a comment |
$begingroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
asked Dec 15 '18 at 8:14
kelp99kelp99
13
$endgroup$
Diagonalize the following matrix:
begin{bmatrix}0&1\-5&-2end{bmatrix}
Also write it in form $PCP^{-1}$, where $C$ is a rotation-dilation matrix.
How would I approach this problem? How do I find $P$ and $C$?
linear-algebra diagonalization
linear-algebra diagonalization
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
asked Dec 15 '18 at 8:14
kelp99kelp99
13
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
asked Dec 15 '18 at 8:14
kelp99kelp99
13
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
edited Dec 15 '18 at 8:41
Gaby Alfonso
1,098317
1,098317
asked Dec 15 '18 at 8:14
kelp99kelp99
13
asked Dec 15 '18 at 8:14
kelp99kelp99
13
asked Dec 15 '18 at 8:14
kelp99kelp99
13
13
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
add a comment |
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06
add a comment |
0
active
oldest
votes
Your Answer
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%2f3040264%2fdiagonalize-matrix-and-find-rotation-dilation-matrix%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
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%2f3040264%2fdiagonalize-matrix-and-find-rotation-dilation-matrix%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
$begingroup$
Do you know what “diagonalize” means? Start with that.
$endgroup$
– amd
Dec 15 '18 at 20:06