Engineering Mathematics Linear Algebra System of Linear Equations

A 3 × 3 matrix  is such that, \({P^3} = P\). Then the eigenvalues of \(P\;\) are

1
1, 2, −1
2
\(1,\;0.5 + j0.866,\;0.5 - j0.866\)
3
\(1,\; - 0.5 + j0.866,\; - 0.5 - j0.866\)
4
0, 1, −1

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