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Problem 1815. 06 - Matrix Equations 3

Created by Samuel Thrysøe

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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>Define the matrices</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>aMat</w:t></w:r><w:r><w:t>,</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>bMat</w:t></w:r><w:r><w:t>, and</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>cMat</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:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>(</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>aMat</w:t></w:r><w:r><w:t> = 9x9 matrix full of 2's )</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>(</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>bMat</w:t></w:r><w:r><w:t> = 9x9 matrix of zeros, but with the following values on the main diagonal: )</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId3\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>and</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId4\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>(</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>cMat</w:t></w:r><w:r><w:t> = 10x10 matrix where the numbers from 1 to 100 runs down the columns )</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Using matrix operations, calculate</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>zMat</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:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId5\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>where l</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t></w:t></w:r><w:r><w:rPr><w:b/><w:i/></w:rPr><w:t>cMat</w:t></w:r><w:r><w:t> l is the determinant of</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t></w:t></w:r><w:r><w:rPr><w:b/><w:i/></w:rPr><w:t>cMat</w:t></w:r><w:r><w:t> (use</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>det</w:t></w:r><w:r><w:t>), and</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t></w:t></w:r><w:r><w:rPr><w:b/><w:i/></w:rPr><w:t>T</w:t></w:r><w:r><w:t> indicates the transpose of the matrix</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 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"}]}

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Last Solution submitted on Mar 21, 2023

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