Linear transformation matrix problem

[snoggerT]

let A= $$\left(<br /> \begin{array}{Ccc}<br /> 9 & 0 \\<br /> 2 & 6 \\<br /> \end{array}<br /> \right)$$
and B= $$\left(<br /> \begin{array}{Ccc}<br /> 5 & 1 \\<br /> 3 & 4 \\<br /> \end{array}<br /> \right)$$

Find the matrix C of the linear transformation T(x)=B(A(x)).

The Attempt at a Solution

- Once again, I really don't know how to start a problem like this off. I tried finding just T(x)=Ax and then multiply that by B, but that didn't seem to work. Please help.

 

[e(ho0n3]

If A and B represent two linear transformations f and g with respect to a pair of bases, then g(f) is just BA.

 

[snoggerT]

okay, I see that now. thanks.