The inverse of a matrix A = begin{bmatrix} a | vedclass

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(B) The inverse of a square matrix $A$ is given by the formula $A^{-1} = \frac{1}{|A|} 	ext{adj}(A)$.For a $2 	imes 2$ matrix $A = \begin{bmatrix} a

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$\frac{1}{ad - bc} \begin{bmatrix} d & -b \ -c & a \end{bmatrix}$

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(B) The inverse of a square matrix $A$ is given by the formula $A^{-1} = \frac{1}{|A|} 	ext{adj}(A)$.For a $2 	imes 2$ matrix $A = \begin{bmatrix} a & b \ c & d \end{bmatrix}$,the determinant is $|A| = ad - bc$.The adjoint of matrix $A$,denoted as $	ext{adj}(A)$,is obtained by interchanging the diagonal elements and changing the signs of the off-diagonal elements:$	ext{adj}(A) = \begin{bmatrix} d & -b \ -c & a \end{bmatrix}$.Therefore,$A^{-1} = \frac{1}{ad - bc} \begin{bmatrix} d & -b \ -c & a \end{bmatrix}$.

The inverse of a matrix $A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$ is

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