Question

$$|A1| \left[\begin{matrix} 5 & -1 & 1 \\8 & 2 & 3 \\3 & -4 & -1 \end{matrix}\right]$$

Evaluate

$\left(\begin{matrix}5|A_{1}|&-|A_{1}|&|A_{1}|\\8|A_{1}|&2|A_{1}|&3|A_{1}|\\3|A_{1}|&-4|A_{1}|&-|A_{1}|\end{matrix}\right)$

Calculate Determinant

$-5|A_{1}|A_{1}^{2}$

Adjoint Matrix

$\left[\begin{array}{rrr}10 & -5 & -5 \\ 17 & -8 & -7 \\ -38 & 17 & 18\end{array}\right]$

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