Properties of Matrices

Friday, 28 June 2019

3:17 PM

Properties of Matrices. Assume all relevant sums and products exist. Suppose A, B, C are matrices and A, p, are scalars (either R or C). A + B = B + A (commutativity of addition) O (A + B) + C = A + (B + C) (associativity of addition) O A +0 = A (O is a zero matrix with every entry zero) O A + ( A) = 0 ( A is the negative of A) O A(BC) = (AB)C (associativity of multiplication) O + C) = AB and (A B) c = O A(AB) = MAB) = A(AB) Al = IA = A (l is an identity matrix, a square matrix with diagonal entries 1 and other entries O)

 

Created with Microsoft OneNote 2016.