1. ## Linear algebra problem

So this is a problem from my Linear Algebra class, but I have no idea as to what I'm supposed to do. I don't think I've ever seen the TA notation, so this problem just confuses me. Can somebody explain this problem to me? Image - TinyPic - Free Image Hosting, Photo Sharing & Video Hosting

2. ## Re: Linear algebra problem

It appears that TA is the linear transformation defined by:

$T_A(x_1,x_2,x_3,x_4) = \begin{bmatrix}-1&3&1&-2\\2&1&-1&0\\0&-2&3&1 \end{bmatrix} \begin{bmatrix}x_1\\x_2\\x_3\\x_4 \end{bmatrix}$

that is: "left-multiplication by A".