Ononot — For the matrix A = \begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatr

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Determinantseasy

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For the matrix $A = \begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix}$ , if $\text{adj}(A)$ denotes the adjugate (adjoint) matrix, which of the following statements is/are true?

I. $A \cdot \text{adj}(A) = \det(A) \cdot I$ II. $\text{adj}(A) = \det(A) \cdot A^{-1}$