Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 2x₁ + 2x2 + 4x3 = 0 2x₁ + 2x₂ + 4x3 = 8 - 6x₁ - 6x2 - 12x3 = -24 - 4x2 - 12x3 = 12 - 6x₁-6x₂-12x3 = 0 - 4x2 - 12x3 = 0
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 2x₁ + 2x2 + 4x3 = 0 2x₁ + 2x₂ + 4x3 = 8 - 6x₁ - 6x2 - 12x3 = -24 - 4x2 - 12x3 = 12 - 6x₁-6x₂-12x3 = 0 - 4x2 - 12x3 = 0
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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Transcribed Image Text:Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below.
2x₁ + 2x2 + 4x3 = 8
2x₁ + 2x₂ + 4x3 = 0
- 6x₁ - 6x2 - 12x3 = 0
- 6x₁ - 6x2 - 12x3 = -24
- 4x2 - 12x3 = 12
- 4x2 - 12x3 = 0
Describe the solution set, x =
X3
(Type an integer or fraction for each matrix element.)
O A. X=
B. X=X₂
OC. X=
O D. X=X₂
+X3
X1
X2
of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice.
+X3
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