The matrix $$A=\left[\begin{array}{cccc} -1 &1 &-3 &-2\cr 4 &-4 &-2 &3\cr -1 &1 &-2 &-1\cr 1 &-1 &2 &1 \end{array}\right]$$ has two real eigenvalues $\lambda_1 < \lambda_2$. Find these eigenvalues, their multiplicities, and the dimensions of their corresponding eigenspaces.

The smaller eigenvalue $\lambda_1 =$ has multiplicity and the dimension of its corresponding eigenspace is .

The larger eigenvalue $\lambda_2=$ has multiplicity and the dimension of its corresponding eigenspace is .