Problem 43752. Vandermonde Matrix

Created by JD

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>Create the Vandermonde Matrix of the given vector. The matrix consists of columns as powers of the vector, so the first column is the inverse of the vector raised to 0. The second column is the vector raised to 1, etc.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example, given the vector:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[v=[1 2 3 4 5];]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>the Vandermonde Matrix would be</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[Vm=\n   1     1     1     1     1\n   1     2     4     8    16\n   1     3     9    27    81\n   1     4    16    64   256\n   1     5    25   125   625]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>See</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Vandermonde_matrix\"><w:r><w:t>Vandermonde Matrix</w:t></w:r></w:hyperlink><w:r><w:t> for more details.</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

143 Solutions
60 Solvers

Last Solution submitted on Jan 17, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers60

Problem Tags

twofunctions

Community Treasure Hunt

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

Start Hunting!

Problem 43752. Vandermonde Matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers60

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Problem 43752. Vandermonde Matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers60

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Players