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Class 12 Determinants · Conceptual Answer1 Marksdeterminant_properties

Class 12 Maths · Determinants · Conceptual Answer #79

For A=\(\begin{bmatrix}\cos\theta & \sin\theta\\-\sin\theta & \cos\theta\end{bmatrix}\), find det(Aⁿ) for a positive integer n.

✅ Step-by-Step Solution

Final Answer: 1
  1. det(A)=cos²θ+sin²θ=1, and det(Aⁿ)=det(A)ⁿ=1.
  2. 1

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] det(A)=cos²θ+sin²θ=1, and det(Aⁿ)=det(A)ⁿ=1.
  • [0.5 marks] 1

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