Recent content by danielpanatha

Could someone please explain to me (with an example if possible) what is the Geometric Multiplicity of Eigenvalues? I cannot understand it from what I have read on the web till now. Thanks in advance.

Thanks!

Thank you!

Thank you all for your replies. One last question: If we think of this theoretically, in the equation Av=v, there has to be a matrix A that will be multiplied by v and the result will be the same vector v. I understand that we cannot divide both parts of the equation by v, but could you please...

Homework Statement We have a matrix Anxn (different than the identity matrix I) and a scalar λ=1. We want to check if λ is an eigenvalue of A. Homework Equations As we know, in order for λ to be an eigenvalue of A, there has to be a non-zero vector v, such that Av=λv The Attempt at a Solution...