If A = \(\begin{pmatrix} cosθ&-sinθ \\ sinθ &cosθ \end{pmatrix}\) – InterviewSolution

1.

If A = \(\begin{pmatrix} cosθ&-sinθ \\ sinθ &cosθ \end{pmatrix}\) then A-1 = ?A. A B. –A C. Adj A D. –adj A

Answer»

A = \(\begin{pmatrix} cosθ&-sinθ \\ sinθ &cosθ \end{pmatrix}\)

│A│= cos²θ - (-sin²θ )

= cos²θ + (sin²θ ) = 1 ---------- (I)

We know that A^-1= 1/|A| adj A

= adj A [From I]

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