Find all basic solutions to the following homogeneous system and express the general solution as a linear combination of these basic solutions: -2x12x2 x3 + 4x4 + x5 = 0 2x1 - - - 2x22x32x4 = 0 2x12x2 3x3 + x5 = 0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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Find all basic solutions to the following homogeneous
system and express the general solution as a linear
combination of these basic solutions:
-2x1 + 2x2
―
x34x4x5 = 0
2x12x2 + 2x3 - 2x4 = 0
2x12x2 3x3 + x5
3x3x5
=
= 0
Transcribed Image Text:Find all basic solutions to the following homogeneous system and express the general solution as a linear combination of these basic solutions: -2x1 + 2x2 ― x34x4x5 = 0 2x12x2 + 2x3 - 2x4 = 0 2x12x2 3x3 + x5 3x3x5 = = 0
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