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Question: Linear Solve and Eigenvectors

Question:Linear Solve and Eigenvectors

Jeff Allard 16 Maple
July 06 2009
0

Hey Everyone!

I cant figure out why Maple can give eigenvectors for a matrix A, through Eigenvectors(A); but I cant use LinearSolve() to do this same calculation. (I get <0.,0.> as the answer).

Here is what I am doing (note, Eigenvectors(S) gives correct answer).

with(LinearAlgebra);

S:=<<7476.45,303.62>|<303.62,26.19>>;

I2:=IdentityMatrix(2);
charPoly:=Determinant(x * I2 - S);
EV:=solve(charPoly=0,x);

         produces: EV := 7488.802926, 13.83707411

Then I try:

A:=EV[1]*I2 - S;

LinearSolve(A);

     produces: <0. , 0.>

Why cant I solve this matrix, or better yet, even use ReducedRowEchelonForm(A) so that I can paramertize the answer using free variables?

Am I missing something simple?

 

Thanks!!

 

 

 

 
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