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Linear Algebra

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Moderate

Vector Norm: Involving Matrix Products

LINALG-NXSSYI

Let $A = \begin{bmatrix} 1&-1&1\\\ 0&2&0\\\ 3&3&-1\end{bmatrix}$ and $\boldsymbol{u} = \begin{bmatrix} 3\\\ -1\\\ -2\end{bmatrix}$

Compute $\Vert A\boldsymbol{u}\Vert$

A

$6\sqrt{3}$

B

$6\sqrt{2}$

C

$\sqrt{74}$

D

$\sqrt{14}$

E

$2\sqrt{51}$

F

$2\sqrt{17}$