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Find the characteristics and the minimal polynomial of the following matrices over R, then deduce...

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Advance Math

Find the characteristics and the minimal polynomial of the following matrices over R, then deduce their corresponding Jordan Canonical Form J.

C=( egin{pmatrix}1&1&0&0\ -1&-1&1&0\ 0&1&1&0\ -1&-1&1&1end{pmatrix} )  

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Solution C eginpmatrix1100 1110 0110 1111endpmatrix The characteristics polynomial implies Plambda1nlambdanS1lambdan1S2lambdan214Sn ullet S1trC11112 ullet S2eginvmatrix10 11endvmatrixeginvmatrix10 11endvmatrixeginvmatrix11 11endvmatrixeginvmatrix11 11endvmatrixeginvmatrix10 01endvmatrixeginvmatrix10 11endvmatrix2    See Answer
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