Suppose $\displaystyle A$ is a 2 by 2 symmetric matrix with unit eigenvectors $\displaystyle u_1$ and $\displaystyle u_2$. If its eigenvalues are 3 and -2, what are the matrices $\displaystyle U$, $\displaystyle \sum$, $\displaystyle V'$ in its SVD?

($\displaystyle V'$ is the transpose of $\displaystyle V$.)