Consider the following system of linear equations. 2x  - 3y  - 4z  =  4                  - z = 3 x  -  2y  +    z = -8   A. Write the system of equations as a matrix equation; i.e., write the system of equations in the form AX = B where A, X and Bare matrices.   B. Find the inverse of the matrix A from part a. C. Solve the system of linear equations using the inverse of the matrix A found in part b.

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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Consider the following system of linear equations.

2x  - 3y  - 4z  =  4

                 - z = 3

x  -  2y  +    z = -8

 

A. Write the system of equations as a matrix equation; i.e., write the system of equations in the form AX = B where A, X and Bare matrices.

 

B. Find the inverse of the matrix A from part a.

C. Solve the system of linear equations using the inverse of the matrix A found in part b.

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