Class 12 Determinants · Conceptual Answer1 Marksadjugate
Class 12 Maths · Determinants · Conceptual Answer #83
For A=\(\begin{bmatrix}a & b\\c & d\end{bmatrix}\) and B=I₂, find adj(AB).
✅ Step-by-Step Solution
Final Answer: \(\begin{bmatrix}d & −b\\−c & a\end{bmatrix}\)
- Since AB=A, its adjugate is obtained by swapping a,d and negating b,c.
- \(\begin{bmatrix}d & −b\\−c & a\end{bmatrix}\)
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Since AB=A, its adjugate is obtained by swapping a,d and negating b,c.
- [0.5 marks] \(\begin{bmatrix}d & −b\\−c & a\end{bmatrix}\)
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