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picture1_Matrix Pdf 174446 | Linalg


 128x       Filetype PDF       File size 0.09 MB       Source: www.math.chalmers.se


File: Matrix Pdf 174446 | Linalg
some linear algebra for man460 the cayley hamilton theorem and invariant subspaces mostofthematerial is taken from ordinara dierentialekvationer by andersson and boiers the cayley hamilton theorem this theorem says essentially ...

icon picture PDF Filetype PDF | Posted on 27 Jan 2023 | 2 years ago
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...Some linear algebra for man the cayley hamilton theorem and invariant subspaces mostofthematerial is taken from ordinara dierentialekvationer by andersson boiers this says essentially that a matrix satises its own characteristic equation more precisely letabeasquarenbyn andletpa beitscharacteristic polynomial i e pa det then proof if not an eigenvalue to invertible well dened except at isolated eigenvalues of so continuous extention it can be considered hold all now recall cramer s rule computing inverse b n detb bn bnn where are sub determinants jk using formula we nd p pn pnn pjk polynomials degree most means write bj constant matrices hence nbn abn ab only true corresponding each power identity c wecan compute anbn which follows combining terms with same note shows never necessary higher than m...

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