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The system of linear equations: X1 + x2 + x3 = 6 2x1 — х2 — хз = 3 is: Select one: а. a 2 x 3 inconsistent system O b. a 3 x2 inconsistent system a 3 x 2 system with solution {(3, 3 – a, a), Va ER} О с. d. a 3 x 2 system with solution {(3, 2, 1)} a 2 x 3 system with solution {(3,3 – a, a), Va ER} е.

The system of linear equations: X1 + x2 + x3 = 6 2x1 — х2 — хз = 3 is: Select one: а. a 2 x 3 inconsistent system O b. a 3 x2 inconsistent system a 3 x 2 system with solution {(3, 3 – a, a), Va ER} О с. d. a 3 x 2 system with solution {(3, 2, 1)} a 2 x 3 system with solution {(3,3 – a, a), Va ER} е.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The system of linear equations: X1 + x2 + x3 = 6 2x1 — х2 — хз = 3 is: Select one: a 2 x 3 inconsistent system а. O b. a 3 x 2 inconsistent system a 3 x 2 system with solution {(3, 3 – a, a), Va E R} С. d. a 3 x 2 system with solution {(3, 2, 1)} O e. a 2 x 3 system with solution {(3, 3 – a, a), Va ER}
Transcribed Image Text:The system of linear equations: X1 + x2 + x3 = 6 2x1 — х2 — хз = 3 is: Select one: a 2 x 3 inconsistent system а. O b. a 3 x 2 inconsistent system a 3 x 2 system with solution {(3, 3 – a, a), Va E R} С. d. a 3 x 2 system with solution {(3, 2, 1)} O e. a 2 x 3 system with solution {(3, 3 – a, a), Va ER}
Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2х3 -10х4 -1 1 -2 1 3 1 1 1 2 2 The REF of the augmented matrix is: 0 1 OFalse OTrue X1 and x4 are the leading variables, whilex2 and x3 are the free variables OFalse OTrue The solution set is { (5-3α, α, 2 - α, 0 ), να ε R} OFalse OTrue
Transcribed Image Text:Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2х3 -10х4 -1 1 -2 1 3 1 1 1 2 2 The REF of the augmented matrix is: 0 1 OFalse OTrue X1 and x4 are the leading variables, whilex2 and x3 are the free variables OFalse OTrue The solution set is { (5-3α, α, 2 - α, 0 ), να ε R} OFalse OTrue
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