Problem 44258. Outer product of multiple vectors

Created by Andrew Newell

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>In tensor algebra, it is often useful to define a tensor as a product of lower order tensors. Similarly, a multidimensional array T might be defined as an outer product of vectors, where a given element is defined by</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[T(i,j,k) = A(i)*B(j)*C(k);]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Create a function</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>outerProduct</w:t></w:r><w:r><w:t> that accepts any number of row or column vectors and calculates their outer product. For the above example,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[T = outerProduct(A,B,C);]]></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

315 Solutions
50 Solvers

Last Solution submitted on May 11, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

David Verrelli on 17 Jan 2018

The final test may not be the ideal choice, as the answer, with expected value around 50¹⁰⁰⁰ ~ 10¹⁶⁹⁹, becomes "Inf" almost certainly. Also there are no outputs of dimension>2 required by the Test Suite.

Problem Recent Solvers50

Problem Tags

linear algebra outer product

Community Treasure Hunt

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

Start Hunting!

Problem 44258. Outer product of multiple vectors

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers50

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 44258. Outer product of multiple vectors

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers50

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players