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Find all eigenvalues and their corresponding eigenspaces of the following matrix. B=( egin{pmatrix}2&-3&1\ 1&-2&1\ 1&-3&2end{pmatrix}...

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Advance Math

Find all eigenvalues and their corresponding eigenspaces of the following matrix. B=( egin{pmatrix}2&-3&1\ 1&-2&1\ 1&-3&2end{pmatrix} )

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Solution B eginpmatrix231 121 132endpmatrix The charateristic polynomial of B is PBlambdaBlambda Ieginvmatrix2lambda 31 12lambda 1 132lambda endvmatrixlambda32lambda2lambda set hspace2mmPBlambda0iff lambda32lambda2lambda0 implies    See Answer
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