List of top Electronics and Communication Engineering Questions on Eigenvalues

If a $3 \times 3$ matrix $A$ has eigenvalues $2, 3, -4$, find $\det(A)$.

Find the inverse of the given matrix: \[ A = \begin{bmatrix} 1 & 0 & 1 \\ -1 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix} \]