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If $A=\begin{bmatrix} acos\theta & bsin\theta \\-bsin\theta & acos\theta \end{bmatrix}$ then $A^{-1}$ is equal to : |
$\frac{1}{a^2cos^2\theta - b^2sin^2\theta }\begin{bmatrix} acos\theta & bsin\theta \\-bsin\theta & acos\theta \end{bmatrix}$ $\frac{1}{a^2cos^2\theta + b^2sin^2\theta }\begin{bmatrix} acos\theta & bsin\theta \\-bsin\theta & acos\theta \end{bmatrix}$ $\frac{1}{a^2cos^2\theta + b^2sin^2\theta }\begin{bmatrix} acos\theta & -bsin\theta \\bsin\theta & acos\theta \end{bmatrix}$ $\frac{1}{a^2cos^2\theta + b^2sin^2\theta }\begin{bmatrix} asin\theta & bcos\theta \\-bcos\theta & asin\theta \end{bmatrix}$ |
$\frac{1}{a^2cos^2\theta + b^2sin^2\theta }\begin{bmatrix} acos\theta & -bsin\theta \\bsin\theta & acos\theta \end{bmatrix}$ |
