Find a basis for the solution space of the given homogeneous linear system. X₁ - 3x2 - 9x3 5x4 = 0 2x₁ + 2x₂2x3 + 14x4 = 0 + 6x₂ + 9x3 + 22x4 = 0 X1 A basis for the solution space of the given homogeneous linear system is 1. (Use a comma to separate vectors as needed.)

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.CM: Cumulative Review
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Find a basis for the solution space of the given homogeneous linear system.
X₁ 3x2
5x4 = 0
- 9x3
2x₁ + 2x₂ - 2x3 + 14x4 = 0
X₁ + 6x₂ + 9x3 + 22x4 = 0
A basis for the solution space of the given homogeneous linear system is 1.
(Use a comma to separate vectors as needed.)
Transcribed Image Text:Find a basis for the solution space of the given homogeneous linear system. X₁ 3x2 5x4 = 0 - 9x3 2x₁ + 2x₂ - 2x3 + 14x4 = 0 X₁ + 6x₂ + 9x3 + 22x4 = 0 A basis for the solution space of the given homogeneous linear system is 1. (Use a comma to separate vectors as needed.)
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