List of top Statistics Questions on Matrix Algebra asked in CPET

If \(A = \begin{bmatrix} 5 & 0 & -2 \\ 0 & 1 & 0 \\ -4 & 0 & -1 \end{bmatrix}\) and \(I\) is the \(3 \times 3\) unit matrix, then the rank of \(I - A\) is:

A square matrix with non-negative elements and unit row sums is called as a:

If \(A\) is a \(3\times 3\) non-zero matrix such that \(A^2=0\), then the number of non-zero eigen values of \(A\) is: