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Class 12 Determinants · Conceptual Answer1 Marksdeterminant_properties

Class 12 Maths · Determinants · Conceptual Answer #42

For 3×3 matrices A,B, det(A)=2 and AB=2I. Find det(B).

✅ Step-by-Step Solution

Final Answer: 4
  1. Take determinants: det(A)det(B)=det(2I₃)=2³=8. Dividing by 2 gives det(B)=4.
  2. 4

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Take determinants: det(A)det(B)=det(2I₃)=2³=8. Dividing by 2 gives det(B)=4.
  • [0.5 marks] 4

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