Class 12 Determinants · Conceptual Answer1 Marksminors_and_cofactors
Class 12 Maths · Determinants · Conceptual Answer #80
Find all cofactors of \(\begin{bmatrix}1 & -2\\4 & 3\end{bmatrix}\).
✅ Step-by-Step Solution
Final Answer: C₁₁=3,C₁₂=−4,C₂₁=2,C₂₂=1
- For a 2×2 matrix [[a,b],[c,d]], the cofactor matrix is [[d,−c],[−b,a]]; substitute a=1,b=−2,c=4,d=3.
- C₁₁=3,C₁₂=−4,C₂₁=2,C₂₂=1
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] For a 2×2 matrix [[a,b],[c,d]], the cofactor matrix is [[d,−c],[−b,a]]; substitute a=1,b=−2,c=4,d=3.
- [0.5 marks] C₁₁=3,C₁₂=−4,C₂₁=2,C₂₂=1
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