01Introductions to Matrices - INTRODUCTION TO MATRICES...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
I NTRODUCTION TO M ATRICES Linear algebra is the art of solving systems of linear equations. For smaller systems, we have used substitution, elimination, and graphing. For larger systems it is necessary to use more systematic methods. To solve larger systems of linear equations we use matrices (we used this a little to solve systems of three linear equations on the GDC). Ex . You are given a set of three linear equations in three variables to solve. 1 10 4 5 5 2 2 4 8 2 = - + = + + = + + z y x z y x z y x To solve this system, a computer needs only the coefficients of the variables and the constant terms. - 1 1 10 4 5 1 5 2 2 4 8 2 This array of numbers is called a matrix . The matrix has 3 rows and 4 columns so it is called a 3 x 4 matrix. This is referred to as the order of the matrix and is given as n m × where m is the number of rows and n is the number of columns. . The first column of the matrix corresponds to the first variable,
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 07/12/2011 for the course MATH 241 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.

Page1 / 2

01Introductions to Matrices - INTRODUCTION TO MATRICES...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online