Student[LinearAlgebra][EigenvaluesTutor] - interactive matrix eigenvalues
The EigenvaluesTutor(M) command presents the techniques used in finding the eigenvalues of the square matrix M by:
Creating the matrix M - lambda*Id where Id is an identity matrix with dimensions equal to that of M
Taking the determinant of M - lambda*Id
Finding the roots of the resulting characteristic polynomial
The Matrix M must be square and of dimension 4 at most.
Floating-point numbers in M are converted to rationals before computation begins.
If the symbolic expression representing an eigenvalue grows too large, then the value displayed in the Maplet application window is a floating-point approximation to it (obtained by applying evalf). The underlying computations continue to be performed using exact arithmetic, however.
The EigenvaluesTutor(M) command returns the eigenvalues as a column Vector.
M ≔ 1,2,0|2,3,2|0,2,1
factor, Student[LinearAlgebra], Student[LinearAlgebra][Determinant], Student[LinearAlgebra][Eigenvalues], Student[LinearAlgebra][EigenvectorsTutor]
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