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Day 5

System of Linear Equations and using inverse matrices.

by

BJ Kim


 

Objectives :

Represent a system of linear equation as a matrix equation

Solve matrix equations using inverse matrices

 

eg1

eg2

eg3

 

Review

An Algorithm for Computing Matrix Inverse.

We give a formula for computing the inverse 2X2 matrices.

 

eg4

Note : There are several algorithms for computing the inverse of a matrix if it exist. These algorithms involve a great deal of calculation,

so computing matrix inverses is usually done by computer (especially for large matrices).

 

Activities & Homework

Represent a system of linear equations as a matrix equation

eg5

Use the formula to find the inverse of the following

eg7 eg8 eg9

Solve the above matrix equations