List of top Mathematics Questions on Properties of Determinants asked in KEAM

If the matrix \( \begin{pmatrix} 8-k & 2 -2 & 4-k \end{pmatrix} \) is singular, then the value of \( k \) is equal to

Let \( A \) be a \(3 \times 3\) matrix and let \( B = 3A \). If \( |A| = 5 \), then the value of \( \frac{|\text{adj } B|}{|3A|} \) is equal to