Solve the following system of equations by determining the inverse of the matrix of coefficients and then using matrix multiplication. 3x1 + 5x2 + 7x3 + 9x4 = 5 9x1 + 7x2 + 5x3 + 3x4 = −1 4x3 − x4 = 6 6x1 − 3x2 = −2 (a) Show how you express the system as AX = B. (b) Once you have the a particular system of equations in the form AX = B, describe the general steps of the method for finding the solution to the system using matrix multiplication

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 10CC
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Solve the following system of equations by determining the inverse of the matrix of coefficients and then using
matrix multiplication.

3x1 + 5x2 + 7x3 + 9x4 = 5
9x1 + 7x2 + 5x3 + 3x4 = −1
4x3 − x4 = 6
6x1 − 3x2 = −2

(a) Show how you express the system as AX = B.

(b) Once you have the a particular system of equations in the form AX = B, describe the general steps of the method for finding the solution to the system using matrix multiplication.

 
 
 
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