If A = [cosθ sinθ; -sinθ cosθ], find A⁻¹. A. [cosθ -sinθ; sinθ cosθ] B. [sinθ cosθ; cosθ -sinθ] C. [-cosθ sinθ; -sinθ cosθ] D. [1 0; 0 1] Answer: A) [cosθ -sinθ; sinθ cosθ] Explanation: Since |A| = 1, A⁻¹ = adj(A). Swapping diagonals and changing signs gives [cosθ -sinθ; sinθ cosθ], which is Aᵀ.

imo class 12 determinants

If A = [cosθ sinθ; -sinθ cosθ], find A⁻¹.

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A = [cosθ sinθ; -sinθ cosθ], find A⁻¹.

Answer: A) [cosθ -sinθ; sinθ cosθ]

Explanation: Since |A| = 1, A⁻¹ = adj(A). Swapping diagonals and changing signs gives [cosθ -sinθ; sinθ cosθ], which is Aᵀ.

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