Question

The graph shows a 90° rotation. The matrix M such that, for any point (x, y), M(x, y) = (x', y') is

Answer 1

Answer:

A) $\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]$

Step-by-step explanation:

The rotation matrix for a clockwise rotation through angle θ is given by ...

$M=\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]$

When θ = 90°, the matrix becomes the one in choice A).