Class 12 Determinants · Conceptual Answer1 Marksadjugate
Class 12 Maths · Determinants · Conceptual Answer #81
Find adj(A) for A=\(\begin{bmatrix}2 & -1\\4 & 3\end{bmatrix}\).
✅ Step-by-Step Solution
Final Answer: \(\begin{bmatrix}3 & 1\\-4 & 2\end{bmatrix}\)
- Swap the diagonal entries and negate the off-diagonal entries: adj([[a,b],[c,d]])=[[d,−b],[−c,a]].
- \(\begin{bmatrix}3 & 1\\-4 & 2\end{bmatrix}\)
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Swap the diagonal entries and negate the off-diagonal entries: adj([[a,b],[c,d]])=[[d,−b],[−c,a]].
- [0.5 marks] \(\begin{bmatrix}3 & 1\\-4 & 2\end{bmatrix}\)
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Find all cofactors of \(\begin{bmatrix}1 & -2\\4 & 3\end{bmatrix}\).
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