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Results tagged with matrix-theory
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user 27513
Matrix theory is the study of matrices as concrete objects, rather than as abstract linear operators between vector spaces (whose study belongs to linear algebra). For instance, this involves matrix factorizations and decompositions, nonnegative matrices and Perron-Frobenius theory, Schur complements, structured and special matrices, matrix functions and equations.
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Under row operations and column permutations a matrix A can be put in the non-unique form ( ...
Let $A$ be an $n \times m$ matrix over $k$. Since the group $\textrm{GL}_{n}(k)$ acts transitively on the ordered bases of an $n$-dimensional $k$-vector space, any $n$ linearly independent columns of …
- 1,300
9
votes
Cardinality of the maximum points of the determinant on matrices with entries in [-1, 1]
This response was too long for a comment, but is far from a complete answer.
Much of the research on the maximal determinant problem has focused on the Gram matrix, and used the theory of positive def …
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