Mathematics
Grade9
Easy

Question

What is the rotation matrix for 180° rotation?

  1. open square brackets table row 0 1 row cell negative 1 end cell 0 end table close square brackets    
  2. open square brackets table row 1 0 row 0 1 end table close square brackets    
  3. open square brackets table row 0 cell negative 1 end cell row 1 0 end table close square brackets    
  4. open square brackets table row cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close square brackets    

Hint:

Particularly useful are the matrices
{\displaystyle {\begin{bmatrix}0&-1\\[3pt]1&0\\\end{bmatrix}},\quad {\begin{bmatrix}-1&0\\[3pt]0&-1\\\end{bmatrix}},\quad {\begin{bmatrix}0&1\\[3pt]-1&0\\\end{bmatrix}}}
for 90°, 180°, and 270° counter-clockwise rotations.

The correct answer is: open square brackets table row cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close square brackets


    Rotation matrix for 180° rotation:
    open square brackets table row cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close square brackets

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