# What is the standard matrix?

• March 30th 2009, 09:43 PM
flaming
What is the standard matrix?
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
• March 30th 2009, 09:50 PM
NonCommAlg
Quote:

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.