interactive matrix eigenvalues - Maple Programming Help

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Student[LinearAlgebra][EigenvaluesTutor] - interactive matrix eigenvalues

Calling Sequence

EigenvaluesTutor(M)

Parameters

M

-

square Matrix

Description

• 

The EigenvaluesTutor(M) command presents the techniques used in finding the eigenvalues of the square matrix M by:

1. 

Creating the matrix M - lambda*Id where Id is an identity matrix with dimensions equal to that of M

2. 

Taking the determinant of M - lambda*Id

3. 

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.

Examples

withStudent[LinearAlgebra]:

M1,2,0|2,3,2|0,2,1

M:=120232021

(1)

EigenvaluesTutorM

See Also

factor, Student[LinearAlgebra], Student[LinearAlgebra][Determinant], Student[LinearAlgebra][Eigenvalues], Student[LinearAlgebra][EigenvectorsTutor]


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