Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. 1 2 3 0 0 1 000 000 - 5 0 00 9 6 10-2 00 0 | + X6\ +X5 x=x₂ (Type an integer or fraction for each matrix element.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Describe all solutions of Ax = 0 in parametric vector form, where A is
row equivalent to the given matrix.
1 2 3
0 0 1
0 0 0
000
-
5 0
00
9
6
10-2
00 0
+X5 | + X6\
x=x₂
(Type an integer or fraction for each matrix element.)
Transcribed Image Text:Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. 1 2 3 0 0 1 0 0 0 000 - 5 0 00 9 6 10-2 00 0 +X5 | + X6\ x=x₂ (Type an integer or fraction for each matrix element.)
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
- 7x2 + 14x3 = 14
B. X=X₂
Describe the solution set, x = X2
x3
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=
OC. X=
O D. X=X₂
+X3
4x₁ + 4x2 + 8x3 = 0
- 12x₁-12x₂-24x3 = 0
- 7x2 + 14x3 = 0
+X3
of the first system of equations
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 - 12x₁-12x₂-24x3 = - 48 - 7x2 + 14x3 = 14 B. X=X₂ Describe the solution set, x = X2 x3 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= OC. X= O D. X=X₂ +X3 4x₁ + 4x2 + 8x3 = 0 - 12x₁-12x₂-24x3 = 0 - 7x2 + 14x3 = 0 +X3 of the first system of equations
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