CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Q161 Marksidempotent_matrices
CBSE Class 12 Mathematics 2026 Main Paper 65/3/2 · Question 16 (Matrices)
For a nonzero square matrix A, suppose A²=A and (I−A)³=xA+I. Find x.
✅ Step-by-Step Solution
Final Answer: −1
- Since A²=A, (I−A)²=I−A and (I−A)³=I−A. Thus xA=−A and x=−1 for A≠0.
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