Problem 43284. Form a square matrix from four square sub-matrices

Created by Andriy Kavetsky

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 a square matrix, y, from 4 square sub-matrices that will be constructed (x1, x2, x3, x4):</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ y = [x1 x2;\n      x3 x4];]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The size of each sub-matrix will be n, while given values should be applied to each sub-matrix.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>1st sub-matrix: n1 on the main diagonal with all other elements equal to 0</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>2nd sub-matrix: all elements equal to n2</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>3rd sub-matrix: all elements equal to n3</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>4th sub-matrix: same as the first but with diagonal elements equal to n4.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example, with n=2, n1=1, n2=2, n3=3, and n4=5:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ y = [1 0 2 2;\n      0 1 2 2;\n      3 3 5 0;\n      3 3 0 5];]]></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

126 Solutions
84 Solvers

Last Solution submitted on May 05, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

goc3 on 28 Nov 2016

The title and description of this problem have been cleaned up. Also, its test suite has been expanded and improved.

Solution Comments

Show comments

Problem Recent Solvers84

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 43284. Form a square matrix from four square sub-matrices

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers84

Suggested Problems

More from this Author37

Problem Tags

Community Treasure Hunt

Problem 43284. Form a square matrix from four square sub-matrices

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers84

Suggested Problems

More from this Author37

Problem Tags

Community Treasure Hunt

Players