Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.) 2x₁ + 4x₂ - 4x3 + 2x4 = 18 3x₁2x₂ + 2x35x4 = 35 4X₁ + X₂ X3 + 4x4 1 dimension basis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
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Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.)
2x₁ + 4x₂ - 4x3 + 2x4 = 18
3x₁2x₂ + 2x3 - 5x4 = 35
4X₁ + X₂ X3 + 4x4 1
dimension
basis
↓↑
Transcribed Image Text:Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.) 2x₁ + 4x₂ - 4x3 + 2x4 = 18 3x₁2x₂ + 2x3 - 5x4 = 35 4X₁ + X₂ X3 + 4x4 1 dimension basis ↓↑
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