AngouriMath
Eigenvalues
Property
Summary
The eigenvalues of this square matrix: the roots of its
CharacteristicPolynomial(AngouriMath.Entity.Variable), as a set, a repeated root once.
null where the matrix is not square.
CharacteristicPolynomial(AngouriMath.Entity.Variable), as a set, a repeated root once.
Remarks
The characteristic polynomial divides by nothing, so its roots carry no condition an
elimination's pivots would bring:[[0, J], [J, 0]] has sqrt(J^2) and
-sqrt(J^2) , which hold at J = 0 too. Up to the fourth degree the roots are
in radicals, and past it where the polynomial factors; otherwise the set is the one the
equation solver leaves.
#1676
elimination's pivots would bring:
in radicals, and past it where the polynomial factors; otherwise the set is the one the
equation solver leaves.
#1676
Example
Console.WriteLine(MathS.Matrix(new Entity[,] { { 2, 0, 0 }, { 0, 3, 4 }, { 0, 4, 9 } }).Eigenvalues);Prints
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