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# Solve this following

Question:

The matrix $A=\left(\begin{array}{ccc}2 & -2 & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3\end{array}\right)$ is

A. Nonsingular

B. Idempotent

C. Nilpotent

D. Orthogonal

Solution:

Here the diagonal value is $2+3-3=1$

So the given matrix is idempotent.