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Consider the system of equations ax +9y = 3 x + ay = 1. or what value(s) of the scalar a (if any) does the system have no solutions, nique solution or infinitely many solutions? For each such a, write down th orresponding solutions

Consider the system of equations ax +9y = 3 x + ay = 1. or what value(s) of the scalar a (if any) does the system have no solutions, nique solution or infinitely many solutions? For each such a, write down th orresponding solutions

Advanced Engineering Mathematics
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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2.9. Consider the system of equations ax +9y = 3 x + ay = 1. For what value(s) of the scalar a (if any) does the system have no solutions, a unique solution or infinitely many solutions? For each such a, write down the corresponding solutions.
Transcribed Image Text:2.9. Consider the system of equations ax +9y = 3 x + ay = 1. For what value(s) of the scalar a (if any) does the system have no solutions, a unique solution or infinitely many solutions? For each such a, write down the corresponding solutions.
2.9 a = -3, no solutions. a = 3, infinitely many solutions X [3] = y a #3, a # -3, unique solution = 1 3 3+a 1 x +
Transcribed Image Text:2.9 a = -3, no solutions. a = 3, infinitely many solutions X [3] = y a #3, a # -3, unique solution = 1 3 3+a 1 x +
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