Apologies for a simple question but my textbook is horrible. I don't seem to understand what this notation means.
$$ \left[ \begin{array}{c} T \end{array} \right]_b^a $$
I was looking online for resources to help me understand and found the following question:
Suppose a basis for V = R3 is the set C = {(1, 0, 0), (1, 1, 0), (1, 1, 1)}. And the coordinate vector of an element (x, y, z) is $$ \left[ \begin{array}{c} x-y\\ y-z\\ z \end{array} \right] $$
How would you get the matrix representation of T. The solution is
$$ \left[ \begin{array}{c} 3&4&4\\ 1&1&2\\ 1&1&0 \end{array} \right] $$
but I don't seem to understand how to get there so can someone provide a brief explanation of what is going on?