Student[LinearAlgebra][EigenvectorsTutor] - interactive matrix eigenvectors
The EigenvectorsTutor(M) command presents the techniques used in finding the eigenvectors of the square matrix M by:
Finding the eigenvalues
Solving the equation −ti⁢Id+M=0 for each eigenvalue ti
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 EigenvectorsTutor(M) command returns the eigenvectors as a set of column Vectors.
M ≔ 1,2,0|2,3,2|0,2,1
Student[LinearAlgebra], Student[LinearAlgebra][Determinant], Student[LinearAlgebra][Eigenvalues], Student[LinearAlgebra][EigenvaluesTutor], Student[LinearAlgebra][Eigenvectors], Student[LinearAlgebra][LinearSolve], Student[LinearAlgebra][LinearSolveTutor]
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