What is the standard matrix?

**flaming** · March 30th 2009, 09:43 PM

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

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

Is the Standard matrix just
1 -1
2 3

**NonCommAlg** · March 30th 2009, 09:50 PM

Originally Posted by flaming

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

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

Is the Standard matrix just $\begin{pmatrix}1 & -1 \\ 2 & 3 \end{pmatrix}$ ?

yes.

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