Recent content by blue4123

That is the part I was a bit unsure of. I found that A must have eigenvalues 2,3. Are their corresponding eigenvectors always linearly independent?

Oh sorry, I did mean that x and y are the first and second columns of S, and not A.

Homework Statement For which ##2x2## matrices ##A## does there exist an invertible matrix ##S## such that ##AS=SD##, where ##D= \begin{bmatrix} 2 & 0\\ 0 & 3 \end{bmatrix} ##? Give your answers in terms of the eigenvalues of ##A##. Homework Equations ##A\lambda=\lambda\vec{v}## The Attempt...