Solve the following system using the Gaussian algorithm: 2x1 — х2 + 3хз = 1 -2x1 + x2 – X3 = 2 X1 3x2 + 6x3 = 3 (x1 Let x be the vector x = |x, where x1, x2 and x3 are solutions of the system, and y be the vector y = 1 Evaluate the X3 scalar product of x and y. [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.]

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
Problem 3BEXP
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Solve the following system using the Gaussian algorithm:
2x1 – x2 + 3x3 = 1
-2x1 + x2 – X3
= 2
X1 — Зх2 + 6х3
= 3
X1
Let x be the vector x = x,, where x1, x2 and x3 are solutions of the system, and y be the vector y =
1|. Evaluate the
(X3)
scalar product of x and y.
[Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of
the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be
marked as correct.]
Transcribed Image Text:Solve the following system using the Gaussian algorithm: 2x1 – x2 + 3x3 = 1 -2x1 + x2 – X3 = 2 X1 — Зх2 + 6х3 = 3 X1 Let x be the vector x = x,, where x1, x2 and x3 are solutions of the system, and y be the vector y = 1|. Evaluate the (X3) scalar product of x and y. [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.]
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