Solve the following system of equations using the Gauss Elimination or Gauss Elimination with Row Pivoting Method. 2. 3. 4x₁ + x₂ + 2x3 21 2x1 2x₂ + 2x3 8 X1 - 2x₂ + 4x3 16 - 2x₁ + x₂ - 2x₁ + x₂ x3 + 4x4 -x₁2x₂ + x3 + 2x4 2x₁ + 4x₂ + 2x3 + x4 = 25 -X₁ + X₂ X3 - 2x4 = -5 - = - X1 2x₂ + x3 3x1 x2 - 2x3 -x₁ + 2x₂ + x3 x3 + 2x4 = 19 -3 0 4x4 3 = X4 = -3 2x4 = 13
Solve the following system of equations using the Gauss Elimination or Gauss Elimination with Row Pivoting Method. 2. 3. 4x₁ + x₂ + 2x3 21 2x1 2x₂ + 2x3 8 X1 - 2x₂ + 4x3 16 - 2x₁ + x₂ - 2x₁ + x₂ x3 + 4x4 -x₁2x₂ + x3 + 2x4 2x₁ + 4x₂ + 2x3 + x4 = 25 -X₁ + X₂ X3 - 2x4 = -5 - = - X1 2x₂ + x3 3x1 x2 - 2x3 -x₁ + 2x₂ + x3 x3 + 2x4 = 19 -3 0 4x4 3 = X4 = -3 2x4 = 13
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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PLEASE ANSWER #3 ONLY THANKYOU
Transcribed Image Text:Solve the following system of equations using the Gauss Elimination or Gauss Elimination with
Row Pivoting Method.
1.
2.
3.
21
4x₁ + x₂ + 2x3 =
2x₁ 2x₂ + 2x3 = 8
2x₂ + 4x3 = 16
X1
2x₁ + x₂
X3 + 4x4 = 19
-x₁2x₂ + x3 + 2x₁ = -3
2x₁ + 4x₂
+ 2x3 + x4 = 25
-X₁ + X₂
X3 2x4 = -5
x3 + 2x4
4x4
2x₁ + x₂
x₁2x₂ + x3
= 0
= 3
ХА
-3
3x1
x₂ - 2x3-
-x₁ + 2x₂ + x3 2x4 = 13
-
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