(A) For a $2 \times 2$ matrix $A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$,the adjoint is given by $\operatorname{adj}(A) = \begin{bmatrix} d &

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$\begin{bmatrix} 5 & 3 \\ -3 & 2 \end{bmatrix}$

(A) For a $2 \times 2$ matrix $A = \begin{bmatrix} a & b \\ c & d \end{bmatrix}$,the adjoint is given by $\operatorname{adj}(A) = \begin{bmatrix} d & -b \\ -c & a \end{bmatrix}$.Given $A = \begin{bmatrix} 2 & -3 \\ 3 & 5 \end{bmatrix}$,we have $a = 2, b = -3, c = 3, d = 5$.Substituting these values into the formula,we get $\operatorname{adj}(A) = \begin{bmatrix} 5 & -(-3) \\ -3 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 3 \\ -3 & 2 \end{bmatrix}$.

Class 12 Mathematics 3 and 4 .Determinants and Matrices Adjoint and inverse of matrices

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The adjoint of the matrix $A = \begin{bmatrix} 2 & -3 \\ 3 & 5 \end{bmatrix}$ is

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A
$\begin{bmatrix} 5 & 3 \\ -3 & 2 \end{bmatrix}$
B
$\begin{bmatrix} 5 & -3 \\ 3 & 2 \end{bmatrix}$
C
$\frac{1}{19} \begin{bmatrix} 5 & 3 \\ -3 & 2 \end{bmatrix}$
D
$\frac{1}{19} \begin{bmatrix} 5 & -3 \\ 3 & 2 \end{bmatrix}$

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3 and 4 .Determinants and Matrices

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The adjoint of the matrix $A = \begin{bmatrix} 2 & -3 \\ 3 & 5 \end{bmatrix}$ is

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