Use Gauss-Jordan elimination to find the solution to the given linear system. (1) X +3x,+4x3 = 3 2x, + 7x, +3x3 = -7 2x, + 8x, + 6x, = -4

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter6: Matrices And Determinants
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Use Gauss-Jordan elimination to find the solution to the given linear system.
(1)
x1 +3x,+ 4x3 = 3
2x, + 7x, +3x3 = -7
2х, + 8x, + 6х, %3D — 4
(2)
2х, + 8x, — 4х, %3D0
2х, +11х,+ 5х, —-9
4x, +18х, + 3х,%3D 11
Transcribed Image Text:Use Gauss-Jordan elimination to find the solution to the given linear system. (1) x1 +3x,+ 4x3 = 3 2x, + 7x, +3x3 = -7 2х, + 8x, + 6х, %3D — 4 (2) 2х, + 8x, — 4х, %3D0 2х, +11х,+ 5х, —-9 4x, +18х, + 3х,%3D 11
Use Gauss-Jordan elimination to find the solution to the given linear system.
(3)
2х, + бх, — 2
Зх, +9х, + 4х, %3D7
x, +3x, +5x3= 6
(4)
X1+ 3x2 + 2x3 +5x4=11
-x1+ 2x2- 2x3+ 5x4= -6
2x1 + 6x, + 4x3 +7x4 =19
5x2 + 2x3 + 6x4= 5
Transcribed Image Text:Use Gauss-Jordan elimination to find the solution to the given linear system. (3) 2х, + бх, — 2 Зх, +9х, + 4х, %3D7 x, +3x, +5x3= 6 (4) X1+ 3x2 + 2x3 +5x4=11 -x1+ 2x2- 2x3+ 5x4= -6 2x1 + 6x, + 4x3 +7x4 =19 5x2 + 2x3 + 6x4= 5
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