Math 22 Fall 2004
Linear Algebra with Applications
Eigenspaces of a Linear Transformation
November 15, 2004
Load the packages for doing Linear Algebra
> | with(Student[LinearAlgebra]): |
Warning, the protected name `.` has been redefined and unprotected
Define a matrix that describes a linear trasformation to work with
> | A := <<1,1/3>|<1/2,-1/2>>; |
Find the eigenvalues
> | Eigenvalues(A), evalf(Eigenvalues(A)); |
Apply the transformation to a grid multiple times to see
the eigenspace corresponding to the largest eigenvalue.
> | ApplyLinearTransformPlot( A, grid, iterations = 10, output = animation, scaling=constrained, thickness = 2 ); |
> |