Class 12 Determinants · Assertion Reason1 Marksdeterminant_scaling
Class 12 Maths · Determinants · Assertion Reason #110
Assertion: For a 3×3 matrix A, det(2A)=8det(A).
Reason: For an n×n matrix A and scalar k, det(kA)=kⁿ⁻¹det(A).
✅ Step-by-Step Solution
Final Answer: Option (C): A is true, but R is false.
- Scaling all three rows by 2 multiplies the determinant by 2³=8. The general exponent is n, not n−1, so A is true and R false.
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