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. 3x₁ + 3x2 + 6x3 = 12 - 9x1 - 9x2 - 18x3 = - 36 - 6x2 - 18x3 = 18 3x₁ + 3x2 + 6x3 = 0 - 9x₁9x2 - 18x3 = 0 - 6x2 - 18x3 = 0

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.
3x₁ + 3x₂ +6x3 = 12
- 9x1 - 9x2 - 18x3 = -
- 36
- 6x2 - 18x3 = 18
Describe the solution set, x =
O
of the first system of equations in parametric vector form. Select the correct
X2
X3
choice below and fill in the answer box(es) within your choice.
(Type an integer or fraction for each matrix element.)
O A. X=
B. X=X₂
C, X=
D. X=X₂
+ X3
3x₁ + 3x₂ + 6x3 = 0
- 9x1 - 9x2 - 18x3 = 0
- 6x2 - 18x3 = 0
+ X3
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. 3x₁ + 3x₂ +6x3 = 12 - 9x1 - 9x2 - 18x3 = - - 36 - 6x2 - 18x3 = 18 Describe the solution set, x = O of the first system of equations in parametric vector form. Select the correct X2 X3 choice below and fill in the answer box(es) within your choice. (Type an integer or fraction for each matrix element.) O A. X= B. X=X₂ C, X= D. X=X₂ + X3 3x₁ + 3x₂ + 6x3 = 0 - 9x1 - 9x2 - 18x3 = 0 - 6x2 - 18x3 = 0 + X3
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