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...Lecture examplesofchangeof basisand matrixtransformations quadraticforms prof n harnew university of oxford mt outline examplesofchangeofbasis andmatrixtransformations examples change basis representation a d vector in rotated coordinate frame rotation system xed coord example matricesandquadraticforms quadratic form another transformation r from cartesian axes x y into by angle cos sin xcos ysin since theseequations relate the coordinates take inverse ofrmeasuredinthe framewith those measuredintherotated...