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Mathematics

Grade9

Easy

Question

What is the rotation matrix for 90° 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:

A rotation matrix can be defined as a transformation matrix that operates on a vector and produces a rotated vector such that the coordinate axes always remain fixed. These matrices rotate a vector in the counterclockwise direction by an angle θ. A rotation matrix is always a square matrix with real entities.

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

Rotation matrix for 90° rotation:
$open square brackets table row 0 cell negative 1 end cell row 1 0 end table close square brackets$

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