Use the Gauss-Jordan method to find the inverse of the following matrix: 2 10 1 1 5 0 [ 3 14 4 To this end, create the augmented matrix [A|1] and use elementary row operations to reduce it to [I|A-1] 1 0 0 5 0 0 1 0 2 10 1 1 5 0 0 1 0 2 10 1 1 0 0 3 14 4 0 0 1 3 14 4 0 0 1 5 0 1 0 R2- 0 1 3 14 4 0 1 1. 5 0 1 0 R3- 1. 0 1 1 0 -1 4 -3 1 1. 5 0 1 0 0 -1 4 0 1 1. -2 0 1 5 -R2 0 1 -4 -1 0 0 1. -2
Use the Gauss-Jordan method to find the inverse of the following matrix: 2 10 1 1 5 0 [ 3 14 4 To this end, create the augmented matrix [A|1] and use elementary row operations to reduce it to [I|A-1] 1 0 0 5 0 0 1 0 2 10 1 1 5 0 0 1 0 2 10 1 1 0 0 3 14 4 0 0 1 3 14 4 0 0 1 5 0 1 0 R2- 0 1 3 14 4 0 1 1. 5 0 1 0 R3- 1. 0 1 1 0 -1 4 -3 1 1. 5 0 1 0 0 -1 4 0 1 1. -2 0 1 5 -R2 0 1 -4 -1 0 0 1. -2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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