How to find the change of coordinate matrix
So I have the base B=(1,2t,4t²-1) and B′=(1,t,t²) of P2.
I need to find the change of coordinate matrix of P,B′←B.
So i know the first thing i need to do is write:
P,B′←B= ((1)B′,(2t)B′,(4t²-1)B′)
so here is where I get confused: looking at the answer sheet,
1=1·0 + 0·t + 0·t²= (1)B′which gives us the matrix (1,0,0)
Why is 1 defined like that ? What are these numbers that define one? Where is 1·0 + 0·t + 0·t² coming from? Is there a formula?
The same process will then be used for 2t and 4t²-1, which all together will give me a matrix.
Any help would be great to find why 1, and 2t and 4t²-1 are defined in certain ways....
Thank you !
(Sorry for some of the format, im new here and any help could be useful)
Is the question too hard? Can somebody please help? Its kind of urgent
matrices matrix-equations change-of-basis
asked Nov 30 '18 at 11:41
BM97BM97
758
add a comment |
So I have the base B=(1,2t,4t²-1) and B′=(1,t,t²) of P2.
I need to find the change of coordinate matrix of P,B′←B.
So i know the first thing i need to do is write:
P,B′←B= ((1)B′,(2t)B′,(4t²-1)B′)
so here is where I get confused: looking at the answer sheet,
1=1·0 + 0·t + 0·t²= (1)B′which gives us the matrix (1,0,0)
Why is 1 defined like that ? What are these numbers that define one? Where is 1·0 + 0·t + 0·t² coming from? Is there a formula?
The same process will then be used for 2t and 4t²-1, which all together will give me a matrix.
Any help would be great to find why 1, and 2t and 4t²-1 are defined in certain ways....
Thank you !
(Sorry for some of the format, im new here and any help could be useful)
Is the question too hard? Can somebody please help? Its kind of urgent
matrices matrix-equations change-of-basis
asked Nov 30 '18 at 11:41
BM97BM97
758
add a comment |
So I have the base B=(1,2t,4t²-1) and B′=(1,t,t²) of P2.
I need to find the change of coordinate matrix of P,B′←B.
So i know the first thing i need to do is write:
P,B′←B= ((1)B′,(2t)B′,(4t²-1)B′)
so here is where I get confused: looking at the answer sheet,
1=1·0 + 0·t + 0·t²= (1)B′which gives us the matrix (1,0,0)
Why is 1 defined like that ? What are these numbers that define one? Where is 1·0 + 0·t + 0·t² coming from? Is there a formula?
The same process will then be used for 2t and 4t²-1, which all together will give me a matrix.
Any help would be great to find why 1, and 2t and 4t²-1 are defined in certain ways....
Thank you !
(Sorry for some of the format, im new here and any help could be useful)
Is the question too hard? Can somebody please help? Its kind of urgent
matrices matrix-equations change-of-basis
asked Nov 30 '18 at 11:41
BM97BM97
758
So I have the base B=(1,2t,4t²-1) and B′=(1,t,t²) of P2.
I need to find the change of coordinate matrix of P,B′←B.
So i know the first thing i need to do is write:
P,B′←B= ((1)B′,(2t)B′,(4t²-1)B′)
so here is where I get confused: looking at the answer sheet,
1=1·0 + 0·t + 0·t²= (1)B′which gives us the matrix (1,0,0)
Why is 1 defined like that ? What are these numbers that define one? Where is 1·0 + 0·t + 0·t² coming from? Is there a formula?
The same process will then be used for 2t and 4t²-1, which all together will give me a matrix.
Any help would be great to find why 1, and 2t and 4t²-1 are defined in certain ways....
Thank you !
(Sorry for some of the format, im new here and any help could be useful)
Is the question too hard? Can somebody please help? Its kind of urgent
matrices matrix-equations change-of-basis
matrices matrix-equations change-of-basis
asked Nov 30 '18 at 11:41
BM97BM97
758
asked Nov 30 '18 at 11:41
BM97BM97
758
edited Nov 30 '18 at 12:36
BM97
asked Nov 30 '18 at 11:41
BM97BM97
758
asked Nov 30 '18 at 11:41
BM97BM97
758
asked Nov 30 '18 at 11:41
BM97BM97
758
758
add a comment |
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%2f3019999%2fhow-to-find-the-change-of-coordinate-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.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- 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.
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%2f3019999%2fhow-to-find-the-change-of-coordinate-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
