CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Q273 Marksmatrix_polynomials
CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Question 27 (Matrices)
For A=[[3,2,0],[1,4,0],[0,0,5]], find A²−7A+10I.
✅ Step-by-Step Solution
Final Answer: Zero matrix.
- Multiply A by itself to get [[11,14,0],[7,18,0],[0,0,25]].
- Subtract 7A to get diag(−10,−10,−10).
- Adding 10I gives the zero matrix.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Multiply A by itself to get [[11,14,0],[7,18,0],[0,0,25]].
- [2 marks] Subtract 7A to get diag(−10,−10,−10).
- [0.5 marks] Adding 10I gives the zero matrix.
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