EM-2117

Matrix multiplication

E Math · Secondary 4 · Hard · Matrix multiplication

A matrix

A

is given by

A = \begin{bmatrix}2 & -1\\3 & 4\end{bmatrix}.

Let

B = \begin{bmatrix}5\\-2\end{bmatrix}.

Find the product

AB

.

$\begin{bmatrix}12\\7\end{bmatrix}$
$\begin{bmatrix}8\\23\end{bmatrix}$
$\begin{bmatrix}6\\-23\end{bmatrix}$
$\begin{bmatrix}10\\15\end{bmatrix}$

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