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picture1_Matrix Pdf 174343 | Cayley Hamilton


picture2_Matrix Pdf 174343 | Cayley Hamilton picture3_Matrix Pdf 174343 | Cayley Hamilton

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File: Matrix Pdf 174343 | Cayley Hamilton
Math 5327 The Cayley-Hamilton Theorem Spring 2018 and Minimal Polynomials Here are some notes on the Cayley-Hamilton Theorem, with a few extras thrown in. I will start with a proof ...

icon picture PDF Filetype PDF | Posted on 27 Jan 2023 | 2 years ago
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...Math the cayley hamilton theorem spring and minimal polynomials here are some notes on with a few extras thrown in i will start proof of that characteristic polynomial is an annihilating for its n matrix along example vari ous aspects class only used which seems little too simple starts this way given we consider formula xi adj det c x it would be nice to just plug into equation say so result follows does not work because has entries dealing where scalars others matrices if then also what do write as coecients case more generally xn b xb collection at point have legal replace by mean valid expressions can make mathematical sense were left hand side expression above onthe other very dierent answer thus correct but now scalar multiply out collect powers get xni ab denote xa xnb twopolynomialsareequalif they same true even those consequently infact our running see possible any everything problem general need thatis all take must pay attention order multiplication careful shows axn axb loo...
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