Consider the fold 2x₁ - 8x₁ 5x1 2 - 4x3 = 7 +6x3 = -3 + 2x2 -9x3 = 15 14 -6 +3x₂ +4x2 30 2X1 - 8x1 5x1 +3x2 +4x2 + 2x2 - 4x3 It can be shown that the first system has a solution. Use this fact and the theory of null spaces and column spaces of matrices to explain why the seco system must also have a solution. (Make no row operations.) Next, determine the relationship between the first vector of constraints, b = = 14 = -6 +6x3 -9x3 = 30 C... 7 -3, and the second vector of constraints. 15
Consider the fold 2x₁ - 8x₁ 5x1 2 - 4x3 = 7 +6x3 = -3 + 2x2 -9x3 = 15 14 -6 +3x₂ +4x2 30 2X1 - 8x1 5x1 +3x2 +4x2 + 2x2 - 4x3 It can be shown that the first system has a solution. Use this fact and the theory of null spaces and column spaces of matrices to explain why the seco system must also have a solution. (Make no row operations.) Next, determine the relationship between the first vector of constraints, b = = 14 = -6 +6x3 -9x3 = 30 C... 7 -3, and the second vector of constraints. 15
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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