Singular Values & the SVD · Hard problem

Let $A = \begin{pmatrix}3 & 2 & 2\\2 & 3 & -2\end{pmatrix}$ and let $A_1$ be its best rank-one approximation (the truncated SVD $\sigma_1u_1v_1^{T}$). Find the sum of all six entries of $A_1$.