Class 12 Determinants · Mcq Single Correct1 Marksdeterminant_scaling
Class 12 Maths · Determinants · Mcq Single Correct #10
For a nonsingular 2×2 real matrix A, det(A)=det(kA). Find the sum of all possible real k.
✅ Step-by-Step Solution
Final Answer: Option (D): 0
- For nonsingular A, det(kA)=k²det(A), so k²=1 and the sum of k=±1 is 0. If A were singular, every k would qualify, so nonsingularity is required.
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