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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 X3 + 4x4 = 1 4X₁ + X₂ 2 X dimension basis X 0 1 1 0 ↓ 1 5 5 0 -6

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 X3 + 4x4 = 1 4X₁ + X₂ 2 X dimension basis X 0 1 1 0 ↓ 1 5 5 0 -6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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basis and dim

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 2 X dimension basis X 0 1 0 5 5 0 -6 ↓ ↑
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 2 X dimension basis X 0 1 0 5 5 0 -6 ↓ ↑
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