Difference between revisions of "MatrixRank Command"
From GeoGebra Manual
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(→CAS Syntax: Distinct CAS samples including literal for symbolic operations) |
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;MatrixRank[ <Matrix> ] | ;MatrixRank[ <Matrix> ] | ||
:Returns the [[w:Rank_(linear_algebra)|rank]] of given matrix. | :Returns the [[w:Rank_(linear_algebra)|rank]] of given matrix. | ||
| − | :{{ | + | :{{Examples|1=<br> |
| − | :* <code><nowiki>MatrixRank[{{2, 2}, {1, 1}}]</nowiki></code> yields ''1'', | + | :*<code><nowiki>MatrixRank[{{2, 2}, {1, 1}}]</nowiki></code> yields ''1'', |
| − | :* <code><nowiki>MatrixRank[{{1, 2}, {3, 4}}]</nowiki></code> yields ''2'' | + | :*<code><nowiki>MatrixRank[{{1, 2}, {3, 4}}]</nowiki></code> yields ''2'', |
| + | :*<code><nowiki>MatrixRank</nowiki></code>[<code>{{a<sub>1<sub>1</sub></sub> , a<sub>1<sub>2</sub></sub>}, { a<sub>2<sub>1</sub></sub>, a<sub>2<sub>2</sub></sub> }} </code>] yields ''2'', | ||
| + | :*<code><nowiki>MatrixRank</nowiki></code>[<code>{{a<sub>1<sub>1</sub></sub> , a<sub>1<sub>2</sub></sub>}, {k a<sub>1<sub>1</sub></sub>, k a<sub>1<sub>2</sub></sub> }} </code>] yields ''1''.}} | ||
Revision as of 00:31, 2 January 2013
- MatrixRank[ <Matrix> ]
- Returns the rank of given matrix.
- Examples:
MatrixRank[{{2, 2}, {1, 1}}]yields 1,MatrixRank[{{1, 2}, {3, 4}}]yields 2.
CAS Syntax
- MatrixRank[ <Matrix> ]
- Returns the rank of given matrix.
- Examples:
MatrixRank[{{2, 2}, {1, 1}}]yields 1,MatrixRank[{{1, 2}, {3, 4}}]yields 2,MatrixRank[{{a11 , a12}, { a21, a22 }}] yields 2,MatrixRank[{{a11 , a12}, {k a11, k a12 }}] yields 1.
