Question :The distinct eigen values of the matrix [1 1 0;1 1 0;0 0 0] are (1) 0,1 (2) 1, -1 (3) 0,2 (4) 1, 2 Solution : Let the matrix \[A=\left(\begin{matrix}1&1&0\\1&1&0\\0&0&0\\\end{matrix}\right)\] eigen values of A \[\left|A-\lambda I\right|=0\] Where I…