−93.ī ≔ RandomMatrix 3, datatype = floatī ≔ 96. M ≔ 1, 4, − 2 | − 1, 0, 1 | − 1, 2, 1Įigenvalues M, implicit, output = listĢ, RootOf _Z 2 + 1, index = 1, RootOf _Z 2 + 1, index = 2Ī ≔ RandomMatrix 3, datatype = float, shape = symmetric, storage = rectangularĪ ≔ 8. However, it can always be accessed through the long form of the command by using LinearAlgebra(.). This function is part of the LinearAlgebra package, and so it can be used in the form Eigenvalues(.) only after executing the command with(LinearAlgebra). If a constructor option is provided in both the calling sequence directly and in an outputoptions option, the latter takes precedence (regardless of the order). These options may also be provided in the form outputoptions=, where represents a Maple list. ![]() The constructor options provide additional information (readonly, shape, storage, order, datatype, and attributes) to the Vector constructor that builds the result. The MATLAB vectors are normalized while the Maple/Mathematica ones arent - instead, they have one element with a value of 1.0 and the other one is. A row Vector or a list may be specified instead. If out is omitted in the calling sequence, a column Vector is returned. The format in which the eigenvalues of A are returned is determined by parameter out. If the implicit option ( imp ) is included in the calling sequence as just the symbol implicit or in the form implicit=true, then the eigenvalues are expressed by using Maple's RootOf notation for algebraic extensions or by expressing the eigenvalues in terms of exact radicals (if possible). Otherwise the returned object has complex 8 or complex sfloat datatype. In the generalized floating-point eigenvalue problem, if A and C have either symmetric or hermitian indexing functions and C also has the positive_definite attribute then the returned object has float 8 or sfloat datatype. The Eigenvalues(A, C) command solves the generalized eigenvalue problem by returning the eigenvalues of Matrix A in a column Vector. In the simple floating-point eigenvalue problem, if A has either the symmetric or the hermitian indexing function then the returned object has float 8 or sfloat datatype. The Eigenvalues(A) command solves the simple eigenvalue problem by returning the eigenvalues of Matrix A in a column Vector. The solution contains the scalar values of lambda for which there are nontrivial Vector solutions x. ![]()
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