Linear Transformation T-- HELP!!

MathematicallyConfused · #1 $Old$ May 29th, 2009, 09:36 AM

the standard matrix

[T ] of a linear

transformation T is given. Use it to find T (x).

T = (1 2
3 4)

x = (3
-2)

The parantheses are the best I could do to show the matrices.

Please help and please use basic terminology. Im lost.

I appreciate your time

Spec · #2 $Old$ May 29th, 2009, 10:18 AM

$T(\vec x) =TX=\left(\begin{array}{cc}1&2\\3&4\end{array}\right)\left(\begin{array}{c}3\\-2\end{array}\right)=...$ where $X$ is the coordinate matrix for $\vec x$ .