?

Linear Algebra

Free Version

Upgrade subject to access all content

Moderate

Properties of an Orthogonal Projection Matrix

LINALG-UBJ$1@

Which of the following matrices represents the orthogonal projection of $\mathbb{R}^2$ onto the line $3x-4y=0$?

A

$P=\begin{bmatrix}1 & 0\\\ 0 & 0\end{bmatrix}$

B

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

C

$P=\begin{bmatrix}16 & 12\\\ 12 & 9\end{bmatrix}$

D

$P=\frac{1}{25}\begin{bmatrix}16 & 12\\\ 12 & 9\end{bmatrix}$