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QUESTION 4 The following equation is over R: 2x+3y+mz = k -x-5y+3z=-2m x-9y+5z=0 When m, k are parameters For which m, k values does the system has only one solution? Infinite solution ? no solution? In the case there is an infinite solution, write down the free variables and what are the free variables and what are the bound variables think of the general solution for this system.

QUESTION 4 The following equation is over R: 2x+3y+mz = k -x-5y+3z=-2m x-9y+5z=0 When m, k are parameters For which m, k values does the system has only one solution? Infinite solution ? no solution? In the case there is an infinite solution, write down the free variables and what are the free variables and what are the bound variables think of the general solution for this system.

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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QUESTION 4 The following equation is over R: " 2x+3y+mz = k -x-5y+32=-2m x-9y+5z=0 When m, k are parameters For which m, k values does the system has only one solution? Infinite solution ? no solution? In the case there is an infinite solution, write down the free variables and what are the free variables and what are the bound variables think of the general solution for this system.
Transcribed Image Text:QUESTION 4 The following equation is over R: " 2x+3y+mz = k -x-5y+32=-2m x-9y+5z=0 When m, k are parameters For which m, k values does the system has only one solution? Infinite solution ? no solution? In the case there is an infinite solution, write down the free variables and what are the free variables and what are the bound variables think of the general solution for this system.
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