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1 characteristic equation of matrix
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characteristic equation — noun : an equation in which the characteristic polynomial of a matrix is set equal to 0 * * * 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and… … Useful english dictionary
characteristic equation — noun Date: circa 1925 an equation in which the characteristic polynomial of a matrix is set equal to 0 … New Collegiate Dictionary
characteristic equation — 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the… … Universalium
Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally … Wikipedia
Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its … Wikipedia
Matrix polynomial — Not to be confused with Polynomial matrix. In mathematics, a matrix polynomial is a polynomial with matrices as variables. Examples include: where P is a polynomial, and I is the identity matrix. the commutator … Wikipedia
characteristic root — Math. 1. a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation on a vector space. 2. a root of the characteristic equation of a given matrix. Also … Universalium
characteristic root — noun : eigenvalue herein * * * Math. 1. a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation on a vector space. 2. a root of the characteristic… … Useful english dictionary
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 exponential — In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group.… … 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