Question

Can you please help me? It's for Algebra 2 Im a little confused and have been on this question for a while.​

Answer 1

`A= \begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\hspace{5em} B= \begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix} \\\\[-0.35em] ~\dotfill\\\\ -3A\implies -3\begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix} \\\\\\ 6B\implies 6\begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix}\implies \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\[-0.35em] ~\dotfill`

`-3A+6B\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix}~~ + ~~ \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\\\ \begin{bmatrix} (9-12)&(-15+36)&(18+42)\\\\ (-27+12)&(15-6)&(-9-36) \end{bmatrix}\implies \Large \begin{bmatrix} -3&21&60\\\\ -15&9&-45 \end{bmatrix}`