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B(7,8) and B’(-8,-7) represent a 90 degree clockwise rotation. true or false?

User BobGao
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1 Answer

4 votes

90 degree clockwise rotation is described by the matrix,


\begin{bmatrix}0&1\\-1&0\\ \end{bmatrix}

If you apply the matrix to the vector
B you get,


\begin{bmatrix}0&1\\-1&0\\ \end{bmatrix}\begin{bmatrix}7\\8\\ \end{bmatrix}=\begin{bmatrix}7\cdot0+8\cdot1=8\\ -1\cdot7+8\cdot0=-7\\ \end{bmatrix}

So false.

Hope this helps.

User Manish Bansal
by
8.3k points

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