onsider the linear system (where A and B are constants): x + 3y + z = A 2x + By + z = -1 2x + 3y + 4z = 3 Find conditions on A and/or B such that: a) The system has a unique solution. b)The system has no solution. c)The system has infinitely many solutions.
onsider the linear system (where A and B are constants): x + 3y + z = A 2x + By + z = -1 2x + 3y + 4z = 3 Find conditions on A and/or B such that: a) The system has a unique solution. b)The system has no solution. c)The system has infinitely many solutions.
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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Consider the linear system (where A and B are constants):
x + 3y + z = A
2x + By + z = -1
2x + 3y + 4z = 3
Find conditions on A and/or B such that:
a) The system has a unique solution.
b)The system has no solution.
c)The system has infinitely many solutions.
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Follow-up Question
I'm not sure about the ranking system that is used here since we haven't learned that yet.
Mainly want to see the Gaussian elimination to see the row echelon form, is this what you show in 3?
Also I noticed you didn't do the det(A), is that necessary?
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