Then show that A is diagonallizable and diagonalize it.
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Solution we have A2Ieginpmatrix110 a11 01a3endpmatrix Then if lambda 2in SPA implies A2Ieginvmatrix110 a11 01a3endvmatrix0 Thus a1 we have Aeginpmatrix110 111 003endpmatrix implies PlambdaAlambda Ieginvmatrix1lambda 10 11lambda 1 003lambda endvmatrix
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