Problem 2870. Print the largest eigenvalue of A(500)

Created by Gentian Zavalani

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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>Write a function that prints the largest eigenvalue of A(500), without any extraneous output.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For a positive integer n, let A(n) be the n×n matrix with entries aij = 1/(i + j − 1). The eigenvalues of A(n) are all real numbers.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>(Hint: The M-file may take a while to run if you use a loop within a loop to define A. Try to avoid this!)</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

79 Solutions
39 Solvers

Last Solution submitted on Jun 16, 2021

Last 200 Solutions

Problem Comments

4 Comments

4 Comments

Show 1 older comment

Sean de Wolski on 21 Jan 2015

"Correct" answer does not have enough precision.

Guillaume on 22 Jan 2015

You need more test cases, with different values of n. Otherwise it's trivial to defeat the test suite.

Celestino on 22 Jan 2015

I agree with Sean

Paul on 22 Jan 2015

I agree with Sean and Guillaume. I had to use "y = round(y*10000)/10000;" to get my code to pass the test.

Problem Recent Solvers39

Problem Tags

Community Treasure Hunt

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

Start Hunting!