Problem 423. System of equations

Created by Tom

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Find a solution to a system of equations represented by a n by n+1 matrix. For instance,

 [ 2 0 4;   =>   2*x = 4 
   2 4 8 ]       2*x + 4*y = 8

Therefore, when given a=[2 0 4; 2 4 8] you should return a vector of solutions, v = [ 2 1 ]. Assume the system will always have a solution.

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Solution Stats

656 Solutions
181 Solvers

Last Solution submitted on Jul 14, 2020

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Yvan Lengwiler on 4 Mar 2012

Consider using a small tolerance for the solution. My program coincides with your test cases up to 3e-16. That ought to be good enough, I think :)

James on 16 Jul 2012

My solution error was at 2.22e-16. Still not good enough, though.

Solution Comments

Solution 840986

1 Comment

1 Comment

eggart on 2 Mar 2016

Obviously round(A\b) is the alledgedly correct answer which is in general different from the numerical approximation of the solution.
I wonder whether this is intended?

Solution 54164

1 Comment

1 Comment

David Hruska on 29 Feb 2012

Assumes the solutions are always integers. The tests would ideally use a tolerance in checking the solutions.

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Problem Tags

system of equations