Find a basis for the solution space of the given homogeneous linear system. X₁ + 5x₂ + 13x3 + 14x4 = 0 2x₁6x₂14x3 + 15x4 2x₁ + 8x2 + 20x3 + 22x4 = 0 = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Find a basis for the solution space of the given homogeneous linear system.
X₁ + 5x₂ + 13x3 + 14x4 = 0
2x₁ + 6x₂ + 14x3 + 15x4 = 0
2x₁ + 8x₂ + 20x3 + 22×4 = 0
A basis for the solution space of the given homogeneous linear system is
(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 + 5x₂ + 13x3 + 14x4 = 0 2x₁ + 6x₂ + 14x3 + 15x4 = 0 2x₁ + 8x₂ + 20x3 + 22×4 = 0 A basis for the solution space of the given homogeneous linear system is (Use a comma to separate vectors as needed.)
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