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  4. If A =[ beginmatrix1&3&5 3&5&1 5&1&3 endmatrix], then adj A is equal to

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Q. If A =$\left[\begin{matrix}1&3&5\\ 3&5&1\\ 5&1&3\end{matrix}\right]$, then adj A is equal to

Determinants

Solution:

We have, $A =\left[\begin{matrix}1&3&5\\ 3&5&1\\ 5&1&3\end{matrix}\right]$

$\Rightarrow \quad adj \,A =\left[\begin{matrix}14&-4&-22\\ -4&-22&14\\ -22&14&-4\end{matrix}\right]$