MATH 2210Q Chapter Notes - Chapter 2: Augmented Matrix, Standard Basis, Gaussian Elimination
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2. 1 matrix operations m n matrix has m rows and n columns. Scalar entry in the ith row and jth column of a is aij. Diagonal entries in an matrix a are m n. , a , a , a11 22 33 and form the main diagonal of n n. Equal matrices - matrices with the same size and equal corresponding columns. Sum matrix whose non diagonal entries are zero matrix whose entries are all zero matrix whose columns are the sums of the corresponding columns m n m n. A and b must be the same size. Scalar multiple ra - matrix whose columns are r times the corresponding columns in a. Thm 1: let a, b, and c be matrices of the same size, and let r and s be scalars. If a is an m n matrix and if b is an n p product ab is the. [b b b ] m p p = [