determinants and the cayley hamilton theorem tristan giron throughout this note we try to follow the same notations than in the course f is a eld unless otherwise specied f ...
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...Determinants and the cayley hamilton theorem tristan giron throughout this note we try to follow same notations than in course f is a eld unless otherwise specied c will be matrix m n representing linear transformation v given basis of dimensional vector space shall denote its characteristic polynomial minimal afundamental result study transformations annihilator other words exercise prove case where represented by triangular b hint proceed induction if such that consider span for k kid akk bit harder show proof fact implies general as stated above essence you have been your would like give another using more directly properties determinant i wereview main elements theory definition let vk vectors map multilinear it every variable e w j vj alternated all permutation s here signature date december possible rst year were taught which make section circular us therefore an independent denition dene number pairs l kand arbitrary real numbers x r y xl xm...