Class 12 Determinants · Conceptual Answer1 Marksadjugate
Class 12 Maths · Determinants · Conceptual Answer #82
A is a real 3×3 matrix and det(adj A)=64. Find all possible det(A).
✅ Step-by-Step Solution
Final Answer: ±8
- For order 3, det(adj A)=det(A)². Thus det(A)²=64, giving both 8 and −8.
- ±8
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] For order 3, det(adj A)=det(A)². Thus det(A)²=64, giving both 8 and −8.
- [0.5 marks] ±8
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