Hi, can someone show me how one would go about finding the matrix Q in Q^(-1) A Q = RationalCanonicalForm(A). Please demonstrate using the example(adsbygoogle = window.adsbygoogle || []).push({});

{4, 1, 2, 0}

{-4, 0, 1, 5} = A

{0, 0, 1, -1}

{0, 0, 1, 3}

where the characteristic polynomial is (x-2)^4 and the minimal polynomial is (x-2)^3. To save you guys some time, I've computed

{2, 1, 2, 0}

{-4, -2, 1, 5} = (A-2I)

{0, 0, -1, -1}

{0, 0, 1, 1}

{0, 0, 3, 3}

{0, 0, -6, -6} = (A-2I)^2

{0, 0, 0, 0}

{0, 0, 0, 0}

Thanks in advance guys!

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# Rational Canonical Form

Can you offer guidance or do you also need help?

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