Find the adjoint of the matrix \(\begin{bmatrix} 2 & -2 \\ 4 & 3 \end{bmatrix}\).
Q.4 Find the adjoint of the matrix \(\begin{bmatrix} 2 & -2 \\ 4 & 3 \end{bmatrix}\).
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Answer: \(\operatorname{adj} A = \begin{bmatrix} 3 & 2 \\ -4 & 2 \end{bmatrix}\)
Let \(A = \begin{bmatrix} 2 & -2 \\ 4 & 3 \end{bmatrix}\). Cofactors: \(A_{11} = 3\), \(A_{12} = -4\), \(A_{21} = -(-2) = 2\), \(A_{22} = 2\).
Cofactor matrix \(= \begin{bmatrix} 3 & -4 \\ 2 & 2 \end{bmatrix}\); its transpose gives \(\operatorname{adj} A = \begin{bmatrix} 3 & 2 \\ -4 & 2 \end{bmatrix}\).
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· 28 Oct 2026
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