X1 + x2 – 3x3 +4x4 = 0 X1 + x2 – 4x3 +5x4 +2 2x1 + 5x2 – 11x3 + 9x4 – 5 = 0 = 0 -x1 – 4x2 + 10x3 – 5x4 + 1 = 0 Using the GJ algorithm (or otherwise) find the solution (x1, x2, X3, X4). Write the value of x2 Answer:

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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Question
Consider the system
= 0
X1 + x2 – 3x3 +4x4
X1 + x2 – 4x3 +5x4 + 2
2x1 + 5x2 – 11x3 + 9x4 – 5 = 0
%3D
= 0
-x1 – 4x2 + 10x3 – 5x4 + 1
Using the GJ algorithm (or otherwise) find the solution (x1, x2,X3, X4). Write the
value of x2
Answer:
Transcribed Image Text:Consider the system = 0 X1 + x2 – 3x3 +4x4 X1 + x2 – 4x3 +5x4 + 2 2x1 + 5x2 – 11x3 + 9x4 – 5 = 0 %3D = 0 -x1 – 4x2 + 10x3 – 5x4 + 1 Using the GJ algorithm (or otherwise) find the solution (x1, x2,X3, X4). Write the value of x2 Answer:
Consider the three systems of linear equations:
4x1 + 6x2 + 2x3 + 8x4
4x1 + 6х2 + 2хз + 8х4
2x1 + 3x2 + x3 +4x4
(A)
бх + 9х2 + 16х4
4
(B) 2x1 + 3x2 + 4x3 + x4
(C)
3x3 – 3x4
2x1 + 3x2 – 2x3 + 7x4
2
2x1 + 3x2 – 2x3 + 7x4
2
-3x3 + 3x4
Select one:
а.
(A) and (C) are equivalent
O b. (A), (B) and (C) are equivalent
О с.
none of the others
O d. (B) and (C) are equivalent
O e. (A) and (B) are equivalent
I| || ||
Transcribed Image Text:Consider the three systems of linear equations: 4x1 + 6x2 + 2x3 + 8x4 4x1 + 6х2 + 2хз + 8х4 2x1 + 3x2 + x3 +4x4 (A) бх + 9х2 + 16х4 4 (B) 2x1 + 3x2 + 4x3 + x4 (C) 3x3 – 3x4 2x1 + 3x2 – 2x3 + 7x4 2 2x1 + 3x2 – 2x3 + 7x4 2 -3x3 + 3x4 Select one: а. (A) and (C) are equivalent O b. (A), (B) and (C) are equivalent О с. none of the others O d. (B) and (C) are equivalent O e. (A) and (B) are equivalent I| || ||
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