Problem 423. System of equations

Created by Tom

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Find a solution to a system of equations represented by a</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> by</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>n+1</w:t></w:r><w:r><w:t> matrix. For instance,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ [ 2 0 4;   =>   2*x = 4 \n   2 4 8 ]       2*x + 4*y = 8]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>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.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

1118 Solutions
250 Solvers

Last Solution submitted on May 19, 2022

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.

Problem Recent Solvers250

Problem Tags

system of equations

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!