Solve the following system using the Gaussian algorithm: 2x1 – x2 + 3x3 = 0 -2x1 + x2 – x3 = -1 x1 – 3x2 + 6x3 = 3 (x1 Let x be the vector x = x2, where x1, x2 and x3 are solutions of the system, and y be the vector y = 1 Evaluate the scalar product of x x3) and y.

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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Solve the following system using the Gaussian algorithm:
2x1 – x2 + 3x3
= 0
-2x1 + x2 – X3
= -1
X1 — Зx2 + 6хз
= 3
X1
Let x be the vector x = |x2, where x1, x2 and x3 are solutions of the system, and y be the vector y
1|. Evaluate the scalar product of x
X3,
and y.
Transcribed Image Text:Solve the following system using the Gaussian algorithm: 2x1 – x2 + 3x3 = 0 -2x1 + x2 – X3 = -1 X1 — Зx2 + 6хз = 3 X1 Let x be the vector x = |x2, where x1, x2 and x3 are solutions of the system, and y be the vector y 1|. Evaluate the scalar product of x X3, and y.
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