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Matrices & Determinants

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MMTS_Full_Test_19

Grade 12

Question:

If $A=\begin{pmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{pmatrix}$, then $A^{-1}=$

$A^T$

$-A^T$

$A$

$-A$

Step-by-Step Solution

Key Concept: Rotation matrix: $A^{-1}=A^T$

$A^{-1}=A^T$.

Correct Answer: 1