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Anwendungsbeispiele Englisch
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- Some of the properties of inverse matrices are shared by generalized inverses (for example, the Moore–Penrose inverse), which can be defined for any "m"-by-"n" matrix.
- Every "m"-by-"n" matrix A with integer entries has a unique "m"-by-"n" matrix H, such that H=UA for some square unimodular matrix U.
- In combinatorial mathematics, a "de Bruijn torus" is an array of symbols from an alphabet (often just 0 and 1) that contains every "m"-by-"n" matrix exactly once.
- A de Bruijn torus is a toroidal array with the property that every "k"-ary "m"-by-"n" matrix occurs exactly once.
- We can use this operation to calculate the "QR" factorization of an "m"-by-"n" matrix [...] with [...].
- The size of a matrix is defined by the number of rows and columns it contains.
- Rephrasing the definition of invariant basis number in terms of matrices, it says that, whenever "A" is an "m"-by-"n" matrix over "R" and "B" is an "n"-by-"m" matrix over "R" such that [...] and [...] , then [...].
- Therefore, the vector [...] can be written as [...] with [...] , where [...] is the "m"-by-"n" matrix formed by [...].
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