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...Chapter matrices and linear algebra basics denition a matrix is an m n array of scalars from given eld f the individual values in are called entries examples b size written as where ca number rows columns notation t mn aac uppercase denotes lower case entry special matricesandlinearalgebra if square inthiscasewehave said to be diagonal i w j ij may denoted by diag d ii thediagonalmatrixdiag identity usually or simply whenn assumed known zero c l triangular e symmetric ji hermitian z complex conjugate g has position zeros all other positions rectangular nonnegative alli it positive eachofthesematriceshassomespecialproperties whichwewill study during this course set underlying r we write denote theorem vector space with basis equality addition multiplication two equal only they have thesamesizeand any then scalar multipli cation dened same sum aandb wecan also compute dierence summing subtraction inherits many properties commutivity associativity distributivity x y dot product yx...