# Linear Transformation Question

• Apr 20th 2008, 09:51 PM
lllll
Linear Transformation Question
let $B$ be an $n \times p$ matrix. For each $j \ (1 \leq j \leq p)$ let $v_j$ denote the jth column of B. Prove that:

$v_j =Be_j$, where $e_j$ is the jth standard vector of $F^p$

so far all I have is:

$v_j = \left( \begin{array}{c}
B_{1j} \\
B_{2j} \\
\vdots \\
B_{mj}
\end{array} \right) = Be_{j} \therefore v_j = Be_j$

is this correct?