List of top Mathematics Questions on Matrices asked in IPU CET

If $A$ is a symmetric matrix, then the transpose of $A'$ is equal to
If A is a \( 3 \times 3 \) matrix, \( |A| \neq 0 \) and \( |3A| = k |A| \), then the values of k is:
Which of the following statements is false?

For what value of \( \alpha \), the matrix A is a singular matrix if \(A=\begin{bmatrix} 1 & 3 & \alpha+2 \\[0.3em] 2 & 4 & 8 \\[0.3em] 3 & 5 & 10 \end{bmatrix}\) ?