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Math Help - What is the standard matrix?

  1. #1
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    What is the standard matrix?

    Let T: \Re^2 --> \Re^2 be defined by

    T \begin{pmatrix}<br />
x_1 \\<br />
x_2 <br />
\end{pmatrix} = \begin{pmatrix}<br />
x_1 - x_2 \\<br />
2x_1 + 3x_2<br />
\end{pmatrix}<br />
Find the Standard matrix for T.

    Is the Standard matrix just
    1 -1
    2 3
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  2. #2
    MHF Contributor

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    Quote Originally Posted by flaming View Post
    Let T: \Re^2 --> \Re^2 be defined by

    T \begin{pmatrix}<br />
x_1 \\<br />
x_2 <br />
\end{pmatrix} = \begin{pmatrix}<br />
x_1 - x_2 \\<br />
2x_1 + 3x_2<br />
\end{pmatrix}<br />
Find the Standard matrix for T.

    Is the Standard matrix just \begin{pmatrix}1 & -1 \\ <br />
2 & 3 \end{pmatrix} ?
    yes.
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