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et A be the matrix, A = [ 1 1 0 − 1 − 1 0...

et A be the matrix,

A = [ 1 1 0 − 1 − 1 0 0 0 3 ]

Suppose we know that    det ( A − λ I 3 ) = 3 λ 2 − λ 3

Find a basis for each eigenspace   E λ i of A.

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