The distinct eigen values of the matrix [1 1 0;1 1 0;0 0 0] are

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, 2Solution :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 is an identity matrix of order…

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