Consider a matrix

\(A = \frac{1}{2} \begin{bmatrix} 1 & 1 & 1 & 1 \\\ 1 & 1 & -1 & -1 \\\ 1 & -1 & 0 & 0 \\\ 0 & 0 & 1 & -1 \end{bmatrix}\)

The eigen values of A are ______

1
unit modulus
2
zero
3
imaginary
4
complex conjugate

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