If |A| = 3 and A^ -1 = 3 & -1 -5 3 & 2 3 , then write the adj A. - Vidyadip

Question

If $\text{|A}| = 3 \text{ and } \text{A}^{-1} = \begin{bmatrix} 3 & -1 \\ -\frac{5}{3} & \frac{2}{3} \\ \end{bmatrix},$ then write the adj A.

✓

Answer

$ \text{adj A = 3} \begin{bmatrix} 3 & -1 \\ -\frac{5}{3} & \frac{2}{3} \\ \end{bmatrix} = \begin{bmatrix} 9 & -3 \\ -5 & 2 \\ \end{bmatrix} $

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