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 - 6x₁ - 6x2 - 12x3 = -24 - 4x₂ - 4x3 = 16 X₁ Describe the solution set, x= x₂ X3 2x₁ + 2x₂ + 4x3 = 0 - 6x₁-6x₂ - 12x3 = 0 - 4x2 - 4x3 = 0 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
- 6x₁
+ 2x2 + 4x3 = 8
- 6x2
- 12x3 = -24
- 4x2
- 4x3 = 16
X1
Describe the solution set, x= x₂
4163
of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within
2x₁ + 2x2 + 4x3 = 0
- 6x₁ - 6x₂ - 12x3 = 0
- 4x2
- 4x3 = 0
X3
your choice.
(Type an integer or fraction for each matrix element.)
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 - 6x₁ + 2x2 + 4x3 = 8 - 6x2 - 12x3 = -24 - 4x2 - 4x3 = 16 X1 Describe the solution set, x= x₂ 4163 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within 2x₁ + 2x2 + 4x3 = 0 - 6x₁ - 6x₂ - 12x3 = 0 - 4x2 - 4x3 = 0 X3 your choice. (Type an integer or fraction for each matrix element.)
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Step 1: Determine the RREF PF the matrix.

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