Let
, where the matrix
is real matrix. Suppose that
is the eigenvalue and
is the eigenvector for
. Then by the eigenvalue equation
SOLUTION
For
, we find the eigenvector.
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For , we find the corresponding eigenvector
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Let
, where the matrix
is real matrix. Suppose that
is multiple eigenvalues and
is not diagonalizable. Then cosider
.
Since
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SOLUTION Since
Since the degree of the matrix is 3, we have to find three linearly independent solutions. Thus we need to find C such that
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For the third solution, we need to find satisfying
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