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Class 12 Determinants · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Determinants · Assertion Reason #26

Assertion: If A is an invertible square matrix, then Aᵀ is invertible. Reason: The inverse of an invertible symmetric matrix is symmetric.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
  1. Both are true, but the symmetric-matrix claim does not explain the general transpose assertion. In fact det(Aᵀ)=det(A)≠0.

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