linear algebra cheat sheet laurent lessard university of wisconsin madison last updated october 12 2016 matrix basics m n a matrix is an array of numbers a r means that ...
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...Linear algebra cheat sheet laurent lessard university of wisconsin madison last updated october matrix basics m n a is an array numbers r means that mrows and columns am amn two matrices can be multiplied if inner dimensions agree c b where cij xaikbkj p k t transpose the operator swaps rows then ij aji ab cont d vector products x y rn are column vectors product dot outer xy these just ordinary multiplications inverse let square there exists with i or ba one holds other same called denoted some properties unique it norms norm function satisfying kxk only deniteness kcxk for all homogeneity kx yk kyk triangle inequality common examples px max euclidean ball you see think s default xtx xty kxkkyk cauchy schwarz...