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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
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Course: College Algebra
Topic: Systems and Matrices
Subtopic: Matrix Algebra

Overview

Today we delve into the algebra of matrices. Everything you learned to do with numbers in arithmetic such as multiplying or reciprocating you get to learn to do with matrices. Practice working the problems algebraically and electronically. See the class calendar for links to my Calculator Guide to Matrix Algebra and Calculator Guide to Determinants.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: matrix, row, column, element, order, size, dimension, square matrix, non-square matrix, transpose, matrix equality rule, determinant, matrix addition, matrix subtraction, zero matrix, additive identity matrix, additive inverse matrix, scalar, scalar multiplication, matrix multiplication, associative property of matrices, commutative property of matrices

Text Notes

You can SKIP the "adjunct method" of finding a determinant and SKIP Cramer's Rule, if your text covers either.

Note that to o find a determinant of a: