CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Q273 Marksmatrix_polynomials
CBSE Class 12 Mathematics 2026 Main Paper 65/4/3 · Question 27 (Matrices)
For A=[[2,0,1],[2,1,3],[1,−1,0]], compute A²−5A+4I.
✅ Step-by-Step Solution
Final Answer: [[−1,−1,−3],[−1,−3,−10],[−5,4,2]].
- Multiply to get A²=[[5,−1,2],[9,−2,5],[0,−1,−2]].
- Subtract [[10,0,5],[10,5,15],[5,−5,0]].
- Increase each diagonal entry by 4.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Multiply to get A²=[[5,−1,2],[9,−2,5],[0,−1,−2]].
- [2 marks] Subtract [[10,0,5],[10,5,15],[5,−5,0]].
- [0.5 marks] Increase each diagonal entry by 4.
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