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


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The graph shows a 90 rotation The matrix M such that for any point x y Mx y x y is Note Both attachments below are regarded to this question class=
The graph shows a 90 rotation The matrix M such that for any point x y Mx y x y is Note Both attachments below are regarded to this question class=

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sqdancefan

Answer:

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

Step-by-step explanation:

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

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

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

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