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Class 12 Determinants · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Determinants · Assertion Reason #27

Assertion: If A is an invertible 3×3 matrix with det(A)=5, then det(adj A)=25. Reason: For an n×n nonsingular matrix B, det(adj B)=det(B)ⁿ⁻¹.

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. The formula with n=3 gives det(adj A)=5²=25.

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