I have the matrix B and vector V as can be seen in the image below. Now I am trying to find out how I could show that vector v is the eigenvector of matrix B, but whenever I'm looking into eigenvector explanations I get a bit overwhelmed honestly. Could someone please show me how I would go about doing this as well as calculating the corresponding eigenvalue?
And how would I go about it the other way around? So showing that 1 is an eigenvalue of the matrix and what is the basis for its eigenspace then?
Thank you very much :)