Problem 55260. Create block matrix of integers (j+k-1) - Part II

Created by Matt Tearle

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 m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column of blocks may be smaller). The elements of the (j,k)th block all have the same value: (j+k-1).</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 m = 4, n = 7, p = 2, and q = 3, the matrix is:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"254\"/><w:attr w:name=\"width\" w:val=\"454\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"A 4-by-7 matrix with each 2-by-3 block shaded a different color. The overall dimensions (m = 4, n = 7) of the matrix are noted. The 2-by-3 (p-by-q) size of each block is also noted.\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You can assume m, n, p, and q are all positive integers. (They can have the value 1, however.) As in the illustration above, m may or may not be divisible by p, and n may or may not be divisible by q. It is even possible for m &lt; p or n &lt; q. The resulting matrix will always be 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"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<div style = "text-align: start; line-height: 20.4333px; 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: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 412.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 206.25px; transform-origin: 407px 206.25px; vertical-align: baseline; "><div style="block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 374.5px 8px; transform-origin: 374.5px 8px; unicode-bidi: normal; "><span style="">Given m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column of blocks may be smaller). The elements of the (j,k)th block all have the same value: (j+k-1).</span></span></div><div style="block-size: 21px; 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 10.5px; text-align: left; transform-origin: 384px 10.5px; 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: 183.5px 8px; transform-origin: 183.5px 8px; unicode-bidi: normal; "><span style="">For example, if m = 4, n = 7, p = 2, and q = 3, the matrix is:</span></span></div><div style="block-size: 259.5px; 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 129.75px; text-align: left; transform-origin: 384px 129.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 454px;height: 254px" 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" alt="A 4-by-7 matrix with each 2-by-3 block shaded a different color. The overall dimensions (m = 4, n = 7) of the matrix are noted. The 2-by-3 (p-by-q) size of each block is also noted." data-image-state="image-loaded" width="454" height="254"></div><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: 363px 8px; transform-origin: 363px 8px; unicode-bidi: normal; "><span style="">You can assume m, n, p, and q are all positive integers. (They can have the value 1, however.) As in the illustration above, m may or may not be divisible by p, and n may or may not be divisible by q. It is even possible for m &lt; p or n &lt; q. The resulting matrix will always be m-by-n.</span></span></div></div></div>

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Problem 55260. Create block matrix of integers (j+k-1) - Part II

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Problem 55260. Create block matrix of integers (j+k-1) - Part II

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