Solve the following system using the Gaussian algorithm: 2x1 - x2 + 3x3 = 3 -2x1 + x2 – x3 = 0 x1 - 3x2 + 6x3 = 3 Let x be the vector x = x2l, where x1, x2 and x3 are solutions of the system, and y be the vector y = 1. Evaluate the scalar product of x and y. 0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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Solve the following system using the Gaussian algorithm:
2x1 - x2 + 3x3 = 3
-2x1 + x2 – x3 = 0
x1 - 3x2 + 6x3
= 3
Let x be the vector x = x2l, where x1, x2 and x3 are solutions of the system, and y be the vector y =
1. Evaluate the scalar product of x and y.
0.
Transcribed Image Text:Solve the following system using the Gaussian algorithm: 2x1 - x2 + 3x3 = 3 -2x1 + x2 – x3 = 0 x1 - 3x2 + 6x3 = 3 Let x be the vector x = x2l, where x1, x2 and x3 are solutions of the system, and y be the vector y = 1. Evaluate the scalar product of x and y. 0.
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