Consider the following system of equations. -X1 + 4x₂ - 2x3 + 4x4 2x₁8x₂ + x3 - 2x4 X₁ 4X₂ + 4x3 - 8x4 Row-reduce the augmented matrix of the system. (Order the columns from x₁ to X4.) 1 -4 0 0 0 0 0 0 1 0 11 = 0 = -3 2 0 1 -2 5 2 X Identify the free variables from the row reduced matrix. (Select all that apply.)
Consider the following system of equations. -X1 + 4x₂ - 2x3 + 4x4 2x₁8x₂ + x3 - 2x4 X₁ 4X₂ + 4x3 - 8x4 Row-reduce the augmented matrix of the system. (Order the columns from x₁ to X4.) 1 -4 0 0 0 0 0 0 1 0 11 = 0 = -3 2 0 1 -2 5 2 X Identify the free variables from the row reduced matrix. (Select all that apply.)
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:Consider the following system of equations.
-X₁ + 4x₂ - 2x3 + 4x4 0
2x1 8x2 + x3 2x4 = -3
X1 4x₂ + 4x38x4
= 2
X1
Row-reduce the augmented matrix of the system. (Order the columns from
1
0
0
0
x2
X3
گیا
X4
X
X1
X2
x3
ХА
-4
||
0
-2
0
1
0
0
X
Identify the free variables from the row reduced matrix. (Select all that apply.)
X1
Need Help?
+ S
4
1
O
0
Use back substitution to write the variables corresponding to the leading variables in terms of the free variables. State the resulting solution.
0
1
0
Read It
+ t
0
=
0
0
0
0
0
1
-2
5
2
→
to X4.)
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