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Class 12 Determinants · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Determinants · Assertion Reason #28

Assertion: For A=\(\begin{bmatrix}1 & 0 & 3\\2 & 1 & 1\\0 & 0 & 2\end{bmatrix}\), det(adj(adj A))=16. Reason: For an n×n matrix A, det(adj(adj A))=det(A)⁽ⁿ⁻¹⁾².

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. A is block triangular with determinant 2. The double-adjugate formula for n=3 gives 2⁴=16.

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