(Solved): Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter ...

Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest.) $?=?\begin{array}{lll}0& 4& 4\\ 4& 0& 4\\ 4& 4& 4\end{array}?$ For esch eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.) $\dim \left(x_1\right)=$