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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 Inversion

Overview

To solve an algebraic equation such as 5x=12 we invert the 5 and multiply both sides by 1/5 to isolate the x. Today we do a similar process except with matrices. Matrix inversion is somewhat analogous to matrix division and will enable us to solve matrix equations. Practice working the problems algebraically and electronically. Technology comes in particularly handy when finding the inverse of a large square matrix. See the class calendar for links to my Calculator Guide to Inverse Matrices.

By the end of this section you should be able to solve a square consistent system of linear equations by any of the following methods:

Objectives

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

Terminology

Define: multiplicative identity matrix (a.k.a. identity matrix), multiplicative inverse matrix (a.k.a. inverse matrix), invertible, non-invertible