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In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and columns, usually satisfying certain properties of addition and multiplication.
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Explore the main themes, entities and connections around Matrix (mathematics). Start with the topic map, then use the sections below for research and deeper semantic analysis.
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matrix matrices displaystyle entries multiplication linear mathbf example square determinant called used rows columns product addition two ring real end
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| addition | instance of | Matrices are subject to standard operations | 0.80 | text |
| multiplication | instance of | Matrices are subject to standard operations | 0.80 | text |
| the Sylvester equation.Row operationsThere are three types of row operations | instance of | They arise in solving matrix equations | 0.80 | text |
| the Sylvester equation | instance of | They arise in solving matrix equations | 0.80 | text |
| additions | instance of | two main aspects are the complexity of algorithms and their numerical stability.Determining the complexity of an algorithm means finding upper bounds or estimates of how many el… | 0.80 | text |
| multiplications of scalars are necessary to perform some algorithm | instance of | two main aspects are the complexity of algorithms and their numerical stability.Determining the complexity of an algorithm means finding upper bounds or estimates of how many el… | 0.80 | text |
| for example | instance of | two main aspects are the complexity of algorithms and their numerical stability.Determining the complexity of an algorithm means finding upper bounds or estimates of how many el… | 0.80 | text |
| multiplication of matrices | instance of | two main aspects are the complexity of algorithms and their numerical stability.Determining the complexity of an algorithm means finding upper bounds or estimates of how many el… | 0.80 | text |
| MapReduce.In many practical situations | instance of | as have speedups to this problem using parallel algorithms or distributed computation systems | 0.80 | text |
| additional information about the matrices involved is known | instance of | as have speedups to this problem using parallel algorithms or distributed computation systems | 0.80 | text |
| the Schur decomposition can be employed | instance of | further algorithms | 0.80 | text |
| tf-idf to track frequencies of certain words in several documents.Complex numbers can be represented by particular real 2-by-2 matrices via a | instance of | text mining and automated thesaurus compilation makes use of document-term matrices | 0.80 | text |
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