# Thread: What is the standard matrix?

1. ## What is the standard matrix?

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

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

Is the Standard matrix just
1 -1
2 3

2. Originally Posted by flaming
Let T:$\displaystyle \Re^2 --> \Re^2$ be defined by

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

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