- trace of square matrix
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English-Russian scientific dictionary. 2008.
trace of square matrix
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Trace — may refer to:;Mathematics, computing and electronics: * Trace (linear algebra) of a square matrix or a linear transformation * Trace class, a certain set of operators in a Hilbert space * Trace operator, a restriction to boundary operator in a… … Wikipedia
Trace (linear algebra) — In linear algebra, the trace of an n by n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii represents the entry on the ith row and ith column … Wikipedia
Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… … Wikipedia
Matrix multiplication — In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. If A is an n by m matrix and B is an m by p matrix, the result AB of their multiplication is an n by p matrix defined only if… … Wikipedia
Matrix unit — In mathematics, a matrix unit is an idealisation of the concept of a matrix, with a focus on the algebraic properties of matrix multiplication. The topic is comparatively obscure within linear algebra, because it entirely ignores the numeric… … Wikipedia
trace — trace1 /trays/, n., v., traced, tracing. n. 1. a surviving mark, sign, or evidence of the former existence, influence, or action of some agent or event; vestige: traces of an advanced civilization among the ruins. 2. a barely discernible… … Universalium
trace — I [[t]treɪs[/t]] n. v. traced, trac•ing, 1) a surviving mark, sign, or evidence of the former existence, influence, or action of some agent or event; vestige 2) a barely discernible indication or evidence of some quantity, quality, characteristic … From formal English to slang
trace — trace1 verb 1》 find by investigation. ↘find or describe the origin or development of. 2》 follow the course or position of with one s eye, mind, or finger. 3》 copy (a drawing, map, or design) by drawing over its lines on a superimposed piece… … English new terms dictionary
Square root of a matrix — In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product B · B is equal to A.[1] Contents 1 Properties 2 Computation methods … Wikipedia
Matrix norm — In mathematics, a matrix norm is a natural extension of the notion of a vector norm to matrices. Contents 1 Definition 2 Induced norm 3 Entrywise norms 3.1 Frobenius norm … Wikipedia
Block matrix — In the mathematical discipline of matrix theory, a block matrix or a partitioned matrix is a matrix broken into sections called blocks. Looking at it another way, the matrix is written in terms of smaller matrices.[1] We group the rows and… … Wikipedia
