Download presentation

Presentation is loading. Please wait.

Published byTriston Nay Modified over 2 years ago

1
Section 13-5 : Inverses of Matrices Objectives: 1)Background – what are inverses and why find them. 2)Process for finding the inverse of a 2x2 matrix.

2
Background: Inverses of matrices are useful for solving systems of equations. To introduce the concept, consider the following system of equations; this system can be written as a matrix. The solution to this system can also be written as a matrix. The process for using an inverse to solve a system of equation is similar to the process for solving the following simple equation.

3
The result of multiplying 5 by its reciprocal was 1. The result of multiplying a matrix by its inverse (similar to a reciprocal) is the identity matrix. The question becomes, how do we find the inverse matrix?? Note: If a matrix is defined as A, then its inverse is defined as A -1. Background (Continued)

4
Your book (see pg. 590) provides a formula for finding the inverse of a 2x2 matrix. The formula is: Example: Finding the Inverse Matrix of a 2x2

5
Is the product of a matrix and its inverse the identity matrix? Silly Question: What is the identity matrix for a 3x3 matrix? Check

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google