Question
Let $\text{A} = \begin{bmatrix}2&4\\3&2\end{bmatrix}, \text{B} = \begin{bmatrix}1&3\\-2&5\end{bmatrix},\text{C} = \begin{bmatrix}-2&5\\3&4\end{bmatrix}.$Find each of the following:
$\text{BA}$
$\text{BA}$
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$6\hat{\text{i}}-2\hat{\text{j}}-3\hat{\text{k}}$
$ \begin{vmatrix} \text{a - b} & \text{b - c} & \text{c - a} \\ \text{b - c} & \text{c - a} & \text{a - b} \\ \text{c - a} & \text{a - b} & \text{b - c} \end{vmatrix}.$