Question

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

Note: Both attachments below are regarded to this question

Answer 1

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

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).