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.
A=( egin{pmatrix}1&-1&-1\ 0&0&-1\ 0&1&2end{pmatrix}: )

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Solution A eginpmatrix111 001 012endpmatrix The characteristics polynomial implies PlambdadetAlambda Iigglambda3 S1lambda2S2lambda S3igg ullet S1trA1023 ullet S2eginvmatrix11 12endvmatrixeginvmatrix11 See Answer

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

50.1K

Verified Solution

Question

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.
A=( egin{pmatrix}1&-1&-1\ 0&0&-1\ 0&1&2end{pmatrix}: )

Answer & Explanation Solved by verified expert

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

50.1K

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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.A=( egin{pmatrix}1&-1&-1\ 0&0&-1\ 0&1&2end{pmatrix}: )

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Find the characteristics and the minimal polynomial of the following matrices over ( mathbb{R} ), then deduce the their corresponding Jordan Canonical Form J.
A=( egin{pmatrix}1&-1&-1\ 0&0&-1\ 0&1&2end{pmatrix}: )