If 3 and -2 are the eigenvalues of a non-sing | vedclass

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(B) Given that the eigenvalues of matrix $A$ are $\lambda_1 = 3$ and $\lambda_2 = -2$. We know that for a non-singular matrix $A$,$adj(A) = |A| A^{-1}

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$\frac{4}{3}, -2$

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(B) Given that the eigenvalues of matrix $A$ are $\lambda_1 = 3$ and $\lambda_2 = -2$. We know that for a non-singular matrix $A$,$adj(A) = |A| A^{-1}$. If $\lambda$ is an eigenvalue of $A$,then the eigenvalue of $A^{-1}$ is $\frac{1}{\lambda}$. Therefore,the eigenvalues of $adj(A)$ are given by $|A| 	imes \frac{1}{\lambda}$. Given $|A| = 4$: For $\lambda_1 = 3$,the eigenvalue of $adj(A)$ is $4 	imes \frac{1}{3} = \frac{4}{3}$. For $\lambda_2 = -2$,the eigenvalue of $adj(A)$ is $4 	imes \frac{1}{-2} = -2$. Thus,the eigenvalues of $adj(A)$ are $\frac{4}{3}$ and $-2$.

If $3$ and $-2$ are the eigenvalues of a non-singular matrix $A$ and $|A| = 4$,then the eigenvalues of $adj(A)$ are:

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