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1. Determine whether the following systems have unique solution, infinitely many solutions or no solutions at all. Those with solutions, determine them. (a) = 2 (mod 18): r = 3 (mod 45). (b) = 1 (mod 18); x = 2 (mod 7).

1. Determine whether the following systems have unique solution, infinitely many solutions or no solutions at all. Those with solutions, determine them. (a) = 2 (mod 18): r = 3 (mod 45). (b) = 1 (mod 18); x = 2 (mod 7).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 60EQ
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1. Determine whether the following systems have unique solution, infinitely many solutions or no solutions at all. Those with solutions, determine them. (a) r= 2 (mod 18): r = 3 (mod 45). (b) r 1 (mod 18); x = 2 (mod 7).
Transcribed Image Text:1. Determine whether the following systems have unique solution, infinitely many solutions or no solutions at all. Those with solutions, determine them. (a) r= 2 (mod 18): r = 3 (mod 45). (b) r 1 (mod 18); x = 2 (mod 7).
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