(Solved): Find the (real) eigenvalues and associated eigenvectors of the given matrix A. Find a basis of each ...

Find the (real) eigenvalues and associated eigenvectors of the given matrix $\mathbf{A}$. Find a basis of each eigenspace of dimension 2 or larger. $?\begin{array}{rrr}2& ?3& ?1\\ 0& 1& 0\\ 0& 0& 1\end{array}?$ The eigenvalue(s) is/are (Use a comma to separate answers as needed.) The eigenvector(s) is/are (Use a comma to separate vectors as needed.) Find a basis of each eigenspace of dimension 2 or larger. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. Exactly one of the eigenspaces has dimension 2 or larger. The eigenspace associated with the eigenvalue $?=$ has basis . (Use a comma to separate vectors as needed.) B. Exactly two of the eigenspaces have dimension 2 or larger. The eigenspace associated with the smaller eigenvalue $?=$ has basis • ' and the eigenspace associated with the larger eigenvalue $?=$ has basis . (Use a comma to separate vectors as needed.) C. None of the eigenspaces have dimension 2 or larger.