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Linear Algebra

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Moderate

Vector Norm: Involving Matrix Multiplication

LINALG-44NJBW

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

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

A

$35$

B

$14$

C

$\sqrt{35}$

D

$\sqrt{14}$

E

$\sqrt{19}$

F

$\sqrt{46}$