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Mathematics

Grade9

Easy

Question

What is the rotation matrix for 180° rotation?

$[\begin{matrix} 0 & 1 \\ - 1 & 0 \end{matrix}]$
$[\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]$
$[\begin{matrix} 0 & - 1 \\ 1 & 0 \end{matrix}]$
$[\begin{matrix} - 1 & 0 \\ 0 & - 1 \end{matrix}]$

hint Hint:

Particularly useful are the matrices
${\begin{bmatrix}0&-1\\[3pt]1&0\\\end{bmatrix}},\quad {\begin{bmatrix}-1&0\\[3pt]0&-1\\\end{bmatrix}},\quad {\begin{bmatrix}0&1\\[3pt]-1&0\\\end{bmatrix}}$
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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