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Jordan Normal Forms for a Skew Adjoint Operator in the Lorentzian Math Csusb

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Jordan Normal Forms for a Skew Adjoint Operator in the Lorentzian Math Csusb

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we have a theorem that tells us how to find a Jordan canonical form the TCF of a and the Matrix B such as a equals B times GCF times P inversion let us try to find this matrices G7 and P now and express example to see how this works in practice so here we have Matrix a I've already given that eigenvalue of a is Lambda equals 1 and it has algebraic multiplicity three so I skipped that part of all the computations um no that's good let's get started step a uh see what a see where we can find a geometric multiplicity first we compute a minus Lambda I so that means take you a subtract one from the diagonal so you get a minus one and minus one and a two uh we reduce by adding the plus one first row to the last one and we see that we have two pivots so one free variable so the geometric multiplicity of this eigenvalue is one and E Lambda is a span of fever V equals one one so there we are so we already see that we are going to get one cycle of length three which ends

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Jordan Normal Forms for a Skew Adjoint Operator in the Lorentzian Math Csusb

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Quick guide on how to complete jordan normal forms for a skew adjoint operator in the lorentzian math csusb

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