5. In order to qualify for full marks, you must show your work and explain your answer! \text { For the matrix } A=\left[\begin{array}{lll} 5 & 0 & 0 \\

7 & 5 & 8 \\ 0 & 0 & 5 \end{array}\right] Find the eigenvalues of A Find a basis for each eigenspace of A