Class 12 Determinants · Conceptual Answer1 Marksdeterminant_properties
Class 12 Maths · Determinants · Conceptual Answer #38
A is 3×3 and det(A)=2. Find det(−AAᵀ).
✅ Step-by-Step Solution
Final Answer: −4
- Scaling a 3×3 matrix by −1 multiplies its determinant by −1; det(AAᵀ)=det(A)²=4.
- −4
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Scaling a 3×3 matrix by −1 multiplies its determinant by −1; det(AAᵀ)=det(A)²=4.
- [0.5 marks] −4
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