Problem 55485. Array Concatenation (2)

Created by Saleh Ibrahim

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Given two matrices, </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>a</w:t></w:r><w:r><w:t> and </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>b</w:t></w:r><w:r><w:t>, concatenate the two matrices vertically, i.e., the number of rows of the result should be equal to the sum of the number of rows of matrix </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>a</w:t></w:r><w:r><w:t> and matrix </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>b</w:t></w:r><w:r><w:t>. Assume both matrices </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>a</w:t></w:r><w:r><w:t> and </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>b</w:t></w:r><w:r><w:t> have the the same number of columns and the result will also have the same number of columns.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, if </w:t></w:r><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"76\"/><w:attr w:name=\"width\" w:val=\"288\"/><w:attr w:name=\"verticalAlign\" w:val=\"middle\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml><w:r><w:t> The result should be </w:t></w:r><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"114\"/><w:attr w:name=\"width\" w:val=\"82\"/><w:attr w:name=\"verticalAlign\" w:val=\"middle\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" 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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 186px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 93px; transform-origin: 407px 93px; vertical-align: baseline; "><div style="block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">Given two matrices, <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">a<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> and <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">b<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">, concatenate the two matrices vertically, i.e., the number of rows of the result should be equal to the sum of the number of rows of matrix <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">a<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> and matrix <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">b<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">. Assume both matrices <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">a<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> and <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">b<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "> have the the same number of columns and the result will also have the same number of columns.</div><div style="block-size: 114px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 57px; text-align: left; transform-origin: 384px 57px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; ">For example, if <img class="imageNode" width="288" height="76" style="vertical-align: middle;width: 288px;height: 76px" 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" 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Problem 55485. Array Concatenation (2)

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Problem 55485. Array Concatenation (2)

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