### Some articles on *matrices*:

Sparse Vector - Band Matrix

... An important special type of sparse

... An important special type of sparse

**matrices**is band matrix, defined as follows ... Notice that zeros are represented with dots**Matrices**with reasonably small upper and lower bandwidth are known as band**matrices**and often lend themselves to simpler algorithms than general ...Capelli's Identity - Contents

3 Generalizations 3.1 Turnbull's identity for symmetric

3 Generalizations 3.1 Turnbull's identity for symmetric

**matrices**3.2 The Howe–Umeda–Kostant–Sahi identity for antisymmetric**matrices**3.3 The Caracciolo–Sportiello–Sokal ...Matrix (mathematics) - History

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**Matrices**have a long history of application in solving linear equations ... emphasized determinants more strongly than**matrices**and an independent matrix concept akin to the modern notion emerged only in 1858, with Cayley's Memoir on the theory of**matrices**... today called minors, that is to say, determinants of smaller**matrices**that derive from the original one by removing columns and rows ...Capelli's Identity - Statement

... Eij can be written in a matrix form where are

... Eij can be written in a matrix form where are

**matrices**with elements Eij, xij, respectively ... If all elements in these**matrices**would be commutative then clearly ... For generic noncommutative**matrices**formulas like do not exist, and the notion of the 'determinant' itself does not make sense for generic ...