Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison wi the solution set of the second system of equations below. 3x₁ + 3x2 + 6x3 = 12 - 6x₁-6x₂ - 12x3 = -24 - 5x2 + 15x3 = 10 C. X= 6 -2 +X3 0 -5 3 1 -X3 3x₁ + 3x2 + 6x3 = 0 - 6x₁ - 6x₂ - 12x3 = 0 - 5x2 + 15x3 = 0 x= x₂ Which option best compares the two systems? www OA. The solution set of the first system is a plane parallel to the plane that is the solution set of the second system. OB. The solution set of the first system is a plane parallel to the line that is the solution set of the second system. OC. The solution set of the first system is a line perpendicular to the line that is the solution set of the second system. OD. The solution set of the first system is a line parallel to the line that is the solution set of the second system.
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison wi the solution set of the second system of equations below. 3x₁ + 3x2 + 6x3 = 12 - 6x₁-6x₂ - 12x3 = -24 - 5x2 + 15x3 = 10 C. X= 6 -2 +X3 0 -5 3 1 -X3 3x₁ + 3x2 + 6x3 = 0 - 6x₁ - 6x₂ - 12x3 = 0 - 5x2 + 15x3 = 0 x= x₂ Which option best compares the two systems? www OA. The solution set of the first system is a plane parallel to the plane that is the solution set of the second system. OB. The solution set of the first system is a plane parallel to the line that is the solution set of the second system. OC. The solution set of the first system is a line perpendicular to the line that is the solution set of the second system. OD. The solution set of the first system is a line parallel to the line that is the solution set of the second system.
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 wi
the solution set of the second system of equations below.
3x₁ + 3x₂ + 6x3 = 12
- 6x₁ - 6x₂ - 12x3 = -24
- 5x2 + 15x3 = 10
C. X=
(O)
6
-2
0
+ X3
-5
♡
1
3x₁ + 3x2 + 6x3 = 0
- 6x₁-6x₂-12x3 = 0
- 5x2 + 15x3 = 0
x= x2 + X3
Which option best compares the two systems?
www
O A. The solution set of the first system is a plane parallel to the plane that is the solution set of the second system.
B. The solution set of the first system is a plane parallel to the line that is the solution set of the second system.
OC. The solution set of the first system is a line perpendicular to the line that is the solution set of the second system.
O D. The solution set of the first system is a line parallel to the line that is the solution set of the second system.
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