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Question: The multiplicative inverse of \(\begin{bmatrix} \cos\theta & - \sin\theta \\ \sin\theta & \cos\theta...

The multiplicative inverse of [cos⁡θ−sin⁡θsin⁡θcos⁡θ]\begin{bmatrix} \cos\theta & - \sin\theta \\ \sin\theta & \cos\theta \end{bmatrix} is

A

$\begin{bmatrix}

  • \cos\theta & - \sin\theta \ \sin\theta & - \cos\theta \end{bmatrix}$
B

[cos⁡θsin⁡θsin⁡θ−cos⁡θ]\begin{bmatrix} \cos\theta & \sin\theta \\ \sin\theta & - \cos\theta \end{bmatrix}

C

$\begin{bmatrix}

  • \cos\theta & \sin\theta \
  • \sin\theta & - \cos\theta \end{bmatrix}$
D

None

Answer

None

Explanation

Solution

Inverse is $\begin{bmatrix} \cos\theta & \sin\theta \

  • \sin\theta & \cos\theta \end{bmatrix}$