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.
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