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Find the characteristics and the minimal polynomial of the following matrices over \( \mathbb{R} \),...

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Advance Math

Find the characteristics and the minimal polynomial of the following matrices over \( \mathbb{R} \), then deduce the their corresponding Jordan Canonical Form J.

B=\( \begin{pmatrix}2&-1&-1&2\\ 0&1&-1&2\\ 2&-5&-1&6\\ 1&-3&-2&6\end{pmatrix} \)

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Solution Plambdalambda4S1lambda3S2lambda2S3lambdaS4 lambda48lambda324lambda232lambda16bigglambda2bigg4 The minimail polynomialSince Plambdabigglambda2bigg4 implies biggBlambda Ibiggk0 biggB2Ibiggbeginpmatrix0112 0112 2516 1324endpmatrix    See Answer
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