How can I get an eigenvector with matlab if i know the corresponding eigenvalue.

The task: "Use MATLAB to help you find an eigenvector for A with eigenvalue 1, with every entry in the eigenvector being a non-negative real number". From this, I suppose I have to use the fact that the eigenvalue is 1 but I do not know how to do that in MATLAB. Would I still use the eig() function? If so, how?

[Torsten]

Z = null(A-lambda*eye(size(A,1)))

?

Best wishes

Torsten.

[B]

Thank you!

[Jan]

It depends. If you have heard a lesson about algorithms to calculate eigen vectors, using the built-in eig is most likely not wanted. But if you use eig, the eigen values and vectors are replied. Then it is not hard to search for a value of 1.