Class 12 Matrices · Short Answer2 Marksmatrix_polynomials
Class 12 Maths · Matrices · Short Answer #96
For A=\(\begin{bmatrix}3 & -3\\-3 & 3\end{bmatrix}\), find λ such that A²=λA.
✅ Step-by-Step Solution
Final Answer: λ=6
- Multiplication gives A²=[[18,−18],[−18,18]].
- This is 6[[3,−3],[−3,3]]=6A; since A≠O the scalar is fixed.
- Therefore λ=6.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Multiplication gives A²=[[18,−18],[−18,18]].
- [1 mark] This is 6[[3,−3],[−3,3]]=6A; since A≠O the scalar is fixed.
- [0.5 marks] Therefore λ=6.
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