File: Matrix Pdf 171113 | Cheat Sheet (regular Font)
math54cheatsheet t v asalinearcombination of vectors in c put the works use long division then a pdp 1 where coefcients in a column vector and then form the d diagonalmatrixofeigenvalues ...
Filetype PDF | Posted on 27 Jan 2023 | 4 years ago
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...Mathcheatsheet t v asalinearcombination of vectors in c put the works use long division then a pdp where coefcients column vector and form d diagonalmatrixofeigenvalues p matrix spaces you found eigenvectors coordinates to nd express x terms complexeigenvalues if bi is an subspace u are w b eigenvector pcp cu wherep isthematrixwholecolumns re im nul solutions ax row reduce spacespannedbytherowsofa invertible theorem cisascalingof det followed by rotation aandchoosetherowsthatcontainthepivots equivalent i has n pivots cos sin col space spanned columns one onto unique solution for aandchoosethecolumnsofathatcontainthepivots every at rank dim numberofpivots aformabasisforrn orthogonality nullity whereaism vorthogonal linear transformation ad bc kuk isorthogonalifu ifi j ct wherecisanumber orthonormal changeofbasis think as rm new cool basis setofvwhichareorthogonaltoeverywinw isanorthogonal linearly independence y whose orthogonal q toshowlin ind consequence qq showthat diagonalization pr...