(Solved): Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save ...

Orthogonally diagonalize the matrix, giving an orthogonal matrix $\mathrm{P}$ and a diagonal matrix $\mathrm{D}$. To save time, the eigenvalues are $10,?2$, and 2 . $A=?\begin{array}{lll}4& 4& 2\\ 4& 2& 4\\ 2& 4& 4\end{array}?$ Enter the matrices $\mathrm{P}$ and $\mathrm{D}$ below. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed. Do not label the matrices.)