kensey70 kensey70
  • 24-08-2021
  • Mathematics
contestada

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

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r3t40
r3t40 r3t40
  • 24-08-2021

90 degree clockwise rotation is described by the matrix,

[tex]\begin{bmatrix}0&1\\-1&0\\ \end{bmatrix}[/tex]

If you apply the matrix to the vector [tex]B[/tex] you get,

[tex]\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}[/tex]

So false.

Hope this helps.

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