Consider the system: x1 + x2 - 3x3 + 4x4 = 0 x1 + x2 - 4x3 + 5x4 +2 = 0 2x1 + 5x2 - 11x3 + 9x4 - 5= 0 -x1 - 4x2 + 10x3 - 5x4 + 1= 0 Using the GJ algorithm (or otherwise) find the solution (x1, x2, x3, x4) Write the value of x2

Consider the system: x1 + x2 - 3x3 + 4x4 = 0 x1 + x2 - 4x3 + 5x4 +2 = 0 2x1 + 5x2 - 11x3 + 9x4 - 5= 0 -x1 - 4x2 + 10x3 - 5x4 + 1= 0 Using the GJ algorithm (or otherwise) find the solution (x1, x2, x3, x4) Write the value of x2

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 82E

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Question

Consider the system:

x₁ + x₂ - 3x₃ + 4x₄ = 0

x₁ + x₂ - 4x₃ + 5x₄+2 = 0

2x₁ + 5x₂ - 11x₃ + 9x₄ - 5= 0

-x₁ - 4x₂ + 10x₃ - 5x₄ + 1= 0

Using the GJ algorithm (or otherwise) find the solution (x₁, x₂, x₃, x₄)

Write the value of x₂

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