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SAT® Subject Test in Math 1 & 2

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Moderate

Multiplication with Matrices

SATSTM-TZBGXD

Find the product of the following matrices:

$$\begin{bmatrix}5&-1\\\ 2&0\end{bmatrix}\begin{bmatrix}a&6\\\ -3&b\end{bmatrix}$$

A

$\begin{bmatrix}5a-3&30+b\\\ 2a&12\end{bmatrix}$

B

$\begin{bmatrix}5a+3&30-b\\\ 2a&12\end{bmatrix}$

C

$\begin{bmatrix}20a&30b\\\ 2a&12\end{bmatrix}$

D

$\begin{bmatrix}2a&21b\\\ 15-5a&12\end{bmatrix}$

E

$\text{Not Possible}$