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Linear Algebra

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Moderate

Dot Product: Matrix Multiplication in Dot Products

LINALG-EHVSHB

Find $\boldsymbol{u}\cdot (A\boldsymbol{v})$ where:

$A= \begin{bmatrix} 1&2&3\\\ 0&-1&-1\\\ 1&0&1\end{bmatrix}$

$\boldsymbol{u} = \begin{bmatrix} -2\\\ 1\\\ -1\end{bmatrix}$

$\boldsymbol{v} = \begin{bmatrix} -1\\\ -1\\\ 3\end{bmatrix}$

A

$-2$

B

$-6$

C

$-16$

D

$-24$

E

$2$

F

$7$