The transformation matrix M = $\begin{pmatrix} 0 & -1 \ 1 & 0 \end{pmatrix}$ represents a rotation of 90° anticlockwise about the origin. What is the inverse transformation M⁻¹?

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Question

The transformation matrix M = $\begin{pmatrix} 0 & -1 \ 1 & 0 \end{pmatrix}$ represents a rotation of 90° anticlockwise about the origin. What is the inverse transformation M⁻¹?

Accepted Answer

$\begin{pmatrix} 0 & 1 \ -1 & 0 \end{pmatrix}$ — Award 1 mark for correct inverse matrix. The inverse of a 90° anticlockwise rotation is a 90° clockwise rotation. B is incorrect — this is the original matrix, not its inverse. C is incorrect — this represents reflection in the x-axis. D is incorrect — this represents reflection in the y-axis.

Answer

$\begin{pmatrix} 0 & -1 \ 1 & 0 \end{pmatrix}$

Answer

$\begin{pmatrix} 0 & 1 \ -1 & 0 \end{pmatrix}$

Answer

$\begin{pmatrix} 1 & 0 \ 0 & -1 \end{pmatrix}$

Answer

$\begin{pmatrix} -1 & 0 \ 0 & 1 \end{pmatrix}$

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