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function [x,lam] = eigenvectors(A)
//Calculates unit eigenvectors of matrix A
//returning a matrix x whose columns are
//the eigenvectors. The function also
//returns the eigenvalues of the matrix.
[n,m] = size(A);
if m<>n then
error('eigenvectors - matrix A is not square');
abort;
end;
lam = spec(A)'; //Eigenvalues of matrix A
x = [];
for k = 1:n
B = A - lam(k)*eye(n,n); //Characteristic matrix
C = B(1:n-1,1:n-1); //Coeff. matrix for reduced system
b = -B(1:n-1,n); //RHS vector for reduced system
y = C\b; //Solution for reduced system
y = [y;1]; //Complete eigenvector
y = y/norm(y); //Make unit eigenvector
x = [x y]; //Add eigenvector to matrix
end;
endfunction
//End of function
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