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Linear Algebra

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Moderate

Projection Onto Column Space

LINALG-WLW1LH

The matrix:

$$ A = \begin{pmatrix} 2/3 & -2/3 \\\ 1/3 & 2/3 \\\ 2/3 & 1/3 \end{pmatrix}$$

...is orthogonal.

Compute the projection of $\mathbf{v}=(1,1,0)$ onto the column space of $A$.

A

$(2/3,1/3,2/3)$

B

$(1,0,0)$

C

$(1/3,2/3,-2/3)$

D

$(2/3,1/3,-1/3)$

E

$(0,1,1)$