MATH-332: Linear Algebra 1-1
MATH-332: Linear Algebra Chapter: 2
Matrix Algebra
Section 2.1: Matrix Operations
pgs. 107-118 June 30, 2009
Lecture: Matrix Operations
Topics:
Sums, scalar products
Matrix Product - 1. linear comb. of columns; 2. row - column
Properties
Transpose
Problems Prac: 1, 2
Prob: 5, 9, 11, 21, 23
Section Goals
•Understand the algebra of matrices and how matrix multiplication relates to composition
mapping.
•Understand the operation of matrix transposition and how its properties can be proven using
row-column notation at the element level.
Section Objectives
•Define matrix multiplication and properties of the non-commutative algebra it forms.
•Define matrix transposition and prove its properties outlined in theorem 3.
