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 - 12x1 - 12x2 - 24x3 = - 48 - 4x2 + 12x3 = 8 4x1 + 4x2 + 8x3 = 0 - 12x1 - 12x2 - 24x3 = 0 - 4x2 + 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.) O A. x= B. X= X2 +X3 O D. X=X2 + X3 O O

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 49EQ
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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.
4x1 + 4x2 + 8x3 = 16
4x1 + 4x2 + 8x3 = 0
- 12x1 - 12x2 - 24x3 = 0
- 4x2 + 12x3 = 0
- 12x1 - 12x2 -24x3 = - 48
- 4x2 + 12x3 = 8
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.)
O A. x=
O B. X=X2
OC.
O D. X= X2
+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. 4x1 + 4x2 + 8x3 = 16 4x1 + 4x2 + 8x3 = 0 - 12x1 - 12x2 - 24x3 = 0 - 4x2 + 12x3 = 0 - 12x1 - 12x2 -24x3 = - 48 - 4x2 + 12x3 = 8 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.) O A. x= O B. X=X2 OC. O D. X= X2 +X3
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