In problems 15, 16, 17, use matrix inverse to find the unique solution to the system of equations. Question 15) X1- x2 + 3x3 - x4 = 1 X2 - 3x3 +5x4 = 2 X1 - X3 + x4 = 0 X1 + 2x3 - x4 = -5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In problems 15, 16, 17, use matrix inverse to find the unique solution to
the system of equations.
X1 - X2 +3x3 - x4 = 1
X2 - 3x3 + 5x4 = 2
X1 - X3 + X4 = 0
X1 + 2x3 - x4 = -5
Question 15)
2x, - 6x2 + 3x3 = -4
-x1 + x2 +x3 = 5
2x, + 6x2 - 5x3 = 8
Question 16)
4x, + 6х, — 3x3 %3D 0
2x1 + 3x2 - 4x3 = 0
X1 - 6x2 + 3x3 = -7
Question 17)
Transcribed Image Text:In problems 15, 16, 17, use matrix inverse to find the unique solution to the system of equations. X1 - X2 +3x3 - x4 = 1 X2 - 3x3 + 5x4 = 2 X1 - X3 + X4 = 0 X1 + 2x3 - x4 = -5 Question 15) 2x, - 6x2 + 3x3 = -4 -x1 + x2 +x3 = 5 2x, + 6x2 - 5x3 = 8 Question 16) 4x, + 6х, — 3x3 %3D 0 2x1 + 3x2 - 4x3 = 0 X1 - 6x2 + 3x3 = -7 Question 17)
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