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1. Find the General Solution of the given system

[ -1 -1 2 ] X = X'

[ -1 1 0 ]

[ -1 0 1 ]

det(A-lambda*Identity matrix) = 0, solve for eigenvalues/values of lambda

(A-lambda*Identity matrix|0)

The eigenvalues we got are 1 and 1 +/- i. The matrix generated for (A-(1-i)I|0) is

[ i -1 2 | 0 ]

[ -1 i 0 | 0 ]

[ -1 0 i | 0 ]

Where do we go from here??

[ -1 -1 2 ] X = X'

[ -1 1 0 ]

[ -1 0 1 ]

det(A-lambda*Identity matrix) = 0, solve for eigenvalues/values of lambda

(A-lambda*Identity matrix|0)

The eigenvalues we got are 1 and 1 +/- i. The matrix generated for (A-(1-i)I|0) is

[ i -1 2 | 0 ]

[ -1 i 0 | 0 ]

[ -1 0 i | 0 ]

Where do we go from here??

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