Problem 2063. A matrix of extroverts

Created by James

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{"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>Now that the introverts have had their script, the extroverts spoke up (naturally!) and demanded one as well. You will be given a matrix. Write a MATLAB script to output a new matrix consisting of the average of all four terms that are next to each other.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>If your input is magic(3)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[     8     1     6\n     3     5     7\n     4     9     2]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Your output will be:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[4.2500    4.7500\n5.2500    5.7500]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The top left term (4.25) is the average of [8 1 ; 3 5]. The bottom left term is the average of [3 5 ; 4 9], and so on. You can assume that the size of each of these matrices will be at least 2x2. Good luck!</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>"}]}

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Last Solution submitted on Mar 10, 2023

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Solution 678913

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bainhome on 2 Jun 2015

nicely done!first one use ndgrid finish the orginal expansion in this one.

Solution 372530

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Jean-Marie Sainthillier on 11 Feb 2014

I think it's the first time I see this function in Cody.

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Problem 2063. A matrix of extroverts

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Problem 2063. A matrix of extroverts

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