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Problem 1813. 06 - Matrix Equations 1

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 vectors</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>aVec</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>bVec</w:t></w:r><w:r><w:t> and the matrix</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: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>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=\"rId2\"/></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=\"rId3\"/></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: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>xMat</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 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"},{"partUri":"/media/image4.png","contentType":"image/png","content":"data:image/png;base64,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"}]}

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