eigenvector

listen to the pronunciation of eigenvector
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الإنجليزية - الإنجليزية
A right eigenvector; a nonzero vector x such that, for a particular matrix A, A x = \lambda x for some scalar \lambda which is its eigenvalue and an eigenvalue of the matrix
A vector that is not rotated under a given linear transformation; a left or right eigenvector depending on context
A vector that when transformed by a matrix retains its direction but perhaps not length
{i} characteristic vector, vector which under a certain linear transformation produces a scalar multiple of the original vector (Mathematics)
of a matrix: An eigenvector of a square matrix A is a nonzero vector x such that Ax = cx holds for some scalar c See also: eigenvalue
the direction of a principal component represented as coefficients in an eigenvector matrix which is computed from the eigenvalues See also principal components
of a matrix: An eigenvector of a n by n matrix A is a nonzero vector x such that A*x = c*x holds for some scalar c See also: eigenvalue
A right eigenvector; a nonzero vector x such that, for a particular matrix A, A x = lambda x for some scalar lambda which is its eigenvalue and an eigenvalue of the matrix
of a matrix: An eigenvector of a square matrix A is a nonzero vector x such that Ax = cx holds for some scalar c See also: eigenvalue ON p399; Str S6 1; AR7 p355
An eigenvector v of a square matrix M has the property that multiplying M by it yields another vector which is parallel to v That is, vM = lambda v where lambda is a (possibly) complex number known as the eigenvalue of v
eigenvector
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