Find the eigenvalues and eigenvectors of the following matrix: a A = (4) a b 0 Feel free to assume that a and b are real. It will enable you to assume something about the eigenvectors, something that...

Extracted text: Find the eigenvalues and eigenvectors of the following matrix: a A = (4) a b 0 Feel free to assume that a and b are real. It will enable you to assume something about the eigenvectors, something that makes certain steps easier. Also, you don't need to normalize the eigenvectors. I care that you find an eigenvector corresponding to each eigenvalue, not that you find an eigenvector of length 1.