2d:null 2e:["$","title",null,{"children":"Gauss Jordan Reduction Test Cases | David Hall | Observable"}] 33:[] 31:{"id":"1fab90c0d539126b","slug":"gauss-jordan-reduction-test-cases","title":"Gauss Jordan Reduction Test Cases","thumbnail":"806c4345a94a7cc304144efa50baba724852e753164d81a46e2d152e31d4be3f","access_level":"public","create_time":"$D2019-07-27T01:08:33.936Z","update_time":"$D2019-07-29T23:38:34.402Z","view_time":null,"first_public_time":"$D2019-07-27T01:40:22.484Z","has_unpublished_edits":null,"fork":{"id":"c997302067a130e7","slug":"gauss-jordan-reduction","title":"Gauss Jordan Reduction","owner":{"id":"e03a1f35385e7271","login":"david-hall","name":"David Hall"}},"stars":0,"starred":false,"owner":{"type":"team","id":"e03a1f35385e7271","login":"david-hall","name":"David Hall","avatar_url":"https://avatars-next.observableusercontent.com/afa38c46229fd6d9c4426dfd17e3359afcc7eb8787d0a9c48fafda7bc081c359","tier":"starter_2024"},"version":735,"publish_version":735,"role":null,"authored":false,"authors":[{"type":"individual","id":"0d8260f2c3b197fd","login":"david-hall","name":"David Hall","avatar_url":"https://avatars-next.observableusercontent.com/afa38c46229fd6d9c4426dfd17e3359afcc7eb8787d0a9c48fafda7bc081c359","tier":null}],"members":[{"type":"individual","id":"0d8260f2c3b197fd","login":"david-hall","name":"David Hall","avatar_url":"https://avatars-next.observableusercontent.com/afa38c46229fd6d9c4426dfd17e3359afcc7eb8787d0a9c48fafda7bc081c359","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"title":"Gauss Jordan Reduction Test Cases","cells":[{"id":0,"value":"md`# Gauss Jordan Reduction Test Cases`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":12,"value":"md`___ Various test cases and examples of the [GaussJordan](/@david-hall/gauss-jordan-reduction) class. ___`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":577,"value":"bigNote","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":580,"value":"md`## Test Settings`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":270,"value":"viewof matrixSize = slider({\n min: 1,\n max: 10,\n step: 1,\n value: 3,\n title: \"Number of Matrix Rows and Columns\",\n description: \"Adjusting this slider will generate and reduce (solve) a new random matrix.\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":502,"value":"viewof proper = checkbox({\n description: \"Show mixed or proper or fractions\",\n options: [{ value: \"true\", label: \"Show Proper Fractions\" }],\n value: \"false\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":583,"value":"md`## Test Results`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":185,"value":"md`___ Input Matrix: (rank = ${reduced.rank}) ___ \n
\n${toHtml(inputMatrix)}\n\n___ Adjoined Matrix: ___ (solution)\n
\n${toHtml(reduced.result)}\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":709,"value":"md`## Rendered with Latex: `","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":721,"value":"md`### Input Matrix:`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":593,"value":"tex`${ latex_matrix( inputMatrix, latex_matrix_options ) }`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":726,"value":"md`### Adjoined (result) matrix:`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":702,"value":"tex`${ latex_matrix( reduced.result, latex_matrix_options ) }`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":394,"value":"md`## Other Matrices ##\n
\n___ ${matrixSize} x ${matrixSize*3} Demo Matrix: ___ \n
\n${toHtml(getDemoMatrix(matrixSize))}\n___ Identity Matrix: ___ \n
\n${toHtml(getIdentityMatrix(matrixSize))}\n___ Addition Table as a Matrix: ___ \n
\n${toHtml(getAdditionTable(matrixSize))}\n___ Multiplication Table as a Matrix: ___ \n
\n${toHtml(getMultiplicationTable(matrixSize))}\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":326,"value":"md`## Code ##`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":644,"value":"latex_matrix_options = get_latex_matrix_options(7)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":626,"value":"function get_latex_matrix_options(size = matrixSize) {\n return {\n max_rows: size,\n max_cols: size,\n formatter: function(element) {\n return element instanceof BigRational\n ? element.asLatex(proper)\n : element;\n }\n };\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":105,"value":"inputMatrix = getRandomMatrix(matrixRows, matrixCols);","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":118,"value":"reduced = gauss.reduce(inputMatrix, getIdentityMatrix(matrixSize));","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":39,"value":"gauss = new GaussJordan();","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":406,"value":"function getDemoMatrix(size) {\n var rows = [];\n for (let r = 0; r < size; r++) {\n var cols = [];\n for (let c = 0; c < size * 3; c++) {\n cols.push(((c+r) % size) == size-1 ? 1 : 0);\n }\n rows.push(cols);\n }\n return rows;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":75,"value":"function getRandomMatrix(nRows = 3, nCols = 3, withFractions = true) {\n var rows = [];\n for (let r = 0; r < nRows; r++) {\n var cols = [];\n for (let c = 0; c < nCols; c++) {\n const max = 20;\n var numerator = getRandomNumber(max);\n var element = numerator;\n if(withFractions) {\n var denominator = getRandomNumber(max);\n if(denominator == 0) {\n denominator = matrixSize + 1; // avoid divide by zero\n }\n element = new BigRational(numerator, denominator);\n }\n cols.push(element);\n }\n rows.push(cols);\n }\n return rows;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":232,"value":"function toHtml(matrix) {\n const nRows = matrix.length;\n const nCols= matrix[0].length;\n const parity = [\"odd\",\"even\"];\n var a = \"\";\n for (let r = 0; r < nRows; r++) {\n a += \"\";\n for (let c = 0; c < nCols; c++) {\n var element = matrix[r][c];\n a += \"\";\n }\n }\n a += \"\";\n a += \"

\";\n if(element instanceof BigRational) {\n a += element.asHtml(proper);\n } else {\n a += element.toString();\n }\n a += \"

\";\n return html`${a}`;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":319,"value":"matrixRows = matrixSize;","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":316,"value":"matrixCols = matrixSize;","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":493,"value":"style = html`\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":7,"value":"md`## Imports ##`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":556,"value":"import {GaussJordan, BigRational, bigNote} from \"@david-hall/gauss-jordan-reduction\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":560,"value":"import {getRandomNumber, getIdentityMatrix, getAdditionTable, getMultiplicationTable} from \"@david-hall/numeric-methods\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":275,"value":"import {checkbox, slider} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":589,"value":"import {latex_matrix} from \"@sorig/latex_matrix\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W33","stdlib":"1","titling":"auto"}} 32:"$31:body"