Problem 110. Make an N-dimensional Multiplication Table

Created by @bmtran (Bryant Tran)

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:rPr><w:b/></w:rPr><w:t>INSTRUCTIONS</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This is a multi-dimensional variant of the normal multiplication table used to teach elementary students multiplication. In this variant, we are going to produce a table that multiplies the divisors 1 to</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> (input) agains itself in</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>d</w:t></w:r><w:r><w:t> dimensions.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:i/></w:rPr><w:t>Note</w:t></w:r><w:r><w:t>: Inputting</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>d</w:t></w:r><w:r><w:t> = 0 should return the number 1 and</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>d</w:t></w:r><w:r><w:t> = 1 should return a column vector with the elements 1 to</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Input:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[n = 3;\nd = 3;]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Output:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[tt(:,:,1) = [ 1  2  3\n              2  4  6\n              3  6  9  ];\ntt(:,:,2) = [ 2  4  6\n              4  8  12\n              6  12 18 ];\ntt(:,:,3) = [ 3  6  9\n              6  12 18\n              9  18 27 ];]]></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

576 Solutions
115 Solvers

Last Solution submitted on Feb 26, 2021

Last 200 Solutions

Problem Comments

Solution Comments

Solution 7795

1 Comment

1 Comment

Peter Wittenberg on 1 Jan 2013

I've learned from this and similar solutions of the use of shiftdim with a negative number. This may well be handy for future programming. Thanks for showing us this feature.

Problem Recent Solvers115

Problem Tags

linear algebra multiplication

Community Treasure Hunt

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

Start Hunting!

Problem 110. Make an N-dimensional Multiplication Table

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers115

Suggested Problems

More from this Author56

Problem Tags

Community Treasure Hunt

Problem 110. Make an N-dimensional Multiplication Table

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers115

Suggested Problems

More from this Author56

Problem Tags

Community Treasure Hunt

Players