Elementary Linear Algebra
8th Edition
ISBN: 9780357156100
Author: Ron Larson
Publisher: Cengage Limited
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Textbook Question
Chapter 1.1, Problem 8E
Parametric Representation. In Exercises 7-10, find a parametric representation of the solution set of the linear equation.
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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
- 3x2-3x3 = 12
Describe the solution set, x =
B. X=X₂
x3
below and fill in the answer box(es) within your choice.
(Type an integer or fraction for each matrix element.)
OA. X=
O c. x=
D. X=X₂
+ X3
3x₁ + 3x2 + 6x3 = 0
- 9x1 - 9x2 - 18x3 = 0
- 3x2-3x3 = 0
+x3
x2 of the first system of equations in parametric vector form. Select the correct choice
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 shown below.
X1 +2x2 - 3x3 = 2
Xq + 2x2 - 3x3 = 0
X4
2x1 + X2 - 3x3 = 7
2x, +x, - 3x3 = 0
where the solution set is x =
X2
- X1 + X2
= - 5
-x1 +x2
= 0
X3
Describe the solution set 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.)
O A. X=
O B. X= X2
O C. x=
+X3
O D. x=X2
+ X3
Which option best compares the two systems?
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.
O B. The solution set of the first system is a plane parallel to the line that is the solution set of the second system.
O C. The solution set of the first system is a line perpendicular to the line that is the solution set of the…
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
- 7x₂ +21x3 = 14
X₁
Describe the solution set, x= x₂
+x3\
3x₁ + 3x₂ + 6x3 = 0
- 9x1 - 9x2 - 18x3 = 0
- 7x2 +21x3 = 0
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=
O B. X=X₂
OC, x=
O D. X=X₂
+X3
of the first system of equations in parametric vector form. Select the correct
Chapter 1 Solutions
Elementary Linear Algebra
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- Conics: identify and sketch the set of points in the plane satisfying x2 + 2x - y = 3arrow_forwardDescribe 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 shown below. X1 - X2 + 3x3 = 6 X1 - X2 + 3x3 = 0 X1 2x, + X2 + 3x3 = 9 2x, + X2 + 3x3 = 0 where the solution set is x =| x, - X, - 2x2 = -3 -x, - 2x, = 0 X3 Describe the solution set 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.) O A. X = O B. X=X2 Oc. x= + X3 O D. X=X2 + X3arrow_forwardDescribe 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 - 12x₁-12x₂-24x3 = - 48 - 6x₂ + 12x3 = 12 X₁ Describe the solution set, x= x₂ 4 X3 4x₁ + 4x2 + 8x3 = 0 - 12x₁-12x₂ - 24x3 = 0 - 6x₂ + 12x3 = 0 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.)arrow_forward
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