12-2 MATRIX MULTIPLICATION MULTIPLY MATRICES BY USING SCALAR AND MATRIX MULTIPLICATION.
SCALAR MULTIPLICATION
PRACTICE
PROPERTIES OF SCALAR MULTIPLICATION
SOLVING A MATRIX EQUATION WITH SCALARS
MATRIX MULTIPLICATION
APPLYING TDFGSPAT Washington10109 New York6005
PROPERTIES OF MATRIX MULTIPLICATION Dimensions: if A is m x n and B is n x p, then AB will be m x p A product will not exist if the number of columns in A does not match the number of rows in B (3 x 2)(2 x 4) product exists (2 x 4)(3 x 2) product does not exist Assume A, B, and C are n x n matrices and O is the zero matrix Closure Property: AB is an n x n matrix Associative Property of Multiplication: (AB)C = A(BC) Distributive Property: A(B + C) = AB + AC and (B + C)A = BA + CA Multiplicative Property of Zero: OA = AO = O
ASSIGNMENT Odds p.777 #7-35,44