14. 3w+ 2xy + 2z = -12 4w x + y + 2z = w+ x + y + z = -2w + 3x + 2y - 3x = 1 - 2 10
14. 3w+ 2xy + 2z = -12 4w x + y + 2z = w+ x + y + z = -2w + 3x + 2y - 3x = 1 - 2 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Use Gaussian elimination to find the complete solution to each system of equations, or show that none exists

Transcribed Image Text:The image shows a system of linear equations labeled with the number 14. The equations are presented as follows:
1. \( 3w + 2x - y + 2z = -12 \)
2. \( 4w - x + y + 2z = 1 \)
3. \( w + x + y + z = -2 \)
4. \( -2w + 3x + 2y - 3z = 10 \)
These equations are part of a larger mathematical problem typically involving finding the values of the variables \( w \), \( x \), \( y \), and \( z \) that satisfy all four equations simultaneously. This type of problem is common in algebra and linear algebra studies.
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