Simplify: cos cos & sin -sin & cos + sin sin & -cos cos & sin . - Vidyadip

Question

Simplify: $\text{cos}\theta\begin{bmatrix} \text{cos}\theta & \text{sin}\theta \\ \text{-sin}\theta & \text{cos}\theta \\ \end{bmatrix}+ \text{sin}\theta\begin{bmatrix} \text{sin}\theta & \text{-cos}\theta \\ \text{cos}\theta & \text{sin}\theta \\ \end{bmatrix}$.

✓

Answer

$\begin{pmatrix} 1 & 0 \\ 0 & 1 \\ \end{pmatrix}$.

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