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. 4x₁ +4x₂ +8x3 = 16 4x₁ + 4x₂ + 8x₂ = 0 - 12x₁-12x₂-24x3 = - 48 - 12x₁ - 12x₂-24x3 = 0 - 6x₂ + 12x₂ = 12 - 6x₂ + 12x3 = 0 X₁ Describe the solution set, x= 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 (Type an integer or fraction for each matrix element.) OA. X= B. X=X₂ C. X= 6 N 0 -4 +X3 2 1 x= x₂ + x3 Which option best compares the two systems? OA. The solution set of the first system is a line perpendicular to the line that is the solution set of the second system. OB. The solution set of the first system is a plane parallel to the plane that is the solution set of the second system. OC. The solution set of the first system is a plane parallel 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.
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. 4x₁ +4x₂ +8x3 = 16 4x₁ + 4x₂ + 8x₂ = 0 - 12x₁-12x₂-24x3 = - 48 - 12x₁ - 12x₂-24x3 = 0 - 6x₂ + 12x₂ = 12 - 6x₂ + 12x3 = 0 X₁ Describe the solution set, x= 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 (Type an integer or fraction for each matrix element.) OA. X= B. X=X₂ C. X= 6 N 0 -4 +X3 2 1 x= x₂ + x3 Which option best compares the two systems? OA. The solution set of the first system is a line perpendicular to the line that is the solution set of the second system. OB. The solution set of the first system is a plane parallel to the plane that is the solution set of the second system. OC. The solution set of the first system is a plane parallel 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.
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.
4x₁ + 4x₂ + 8x3 = 16
4x₁ + 4x₂ + 8x3 = 0
- 12x₁ - 12x₂ - 24x3 = - 48
- 12x₁ - 12x₂-24x3 = 0
- 6x₂ + 12x3 = 12
- 6x₂ + 12x3 = 0
X₁
Describe the solution set, x= x₂
B
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.
(Type an integer or fraction for each matrix element.)
OA X=
OB. X=X₂
6
C. X= -2 +X₂
0
-4
2
1
X3
+X3
O D. X=X₂
Which option best compares the two systems?
C
O A. The solution set of the first system is a line perpendicular to the line that is the solution set of the second system.
O B. The solution set of the first system is a plane parallel to the plane that is the solution set of the second system.
OC. The solution set of the first system is a plane parallel 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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