The matrix $$C = \left[\begin{array}{ccc} 1 &1 &-4\cr 0 &1 &-4\cr 0 &1 &-3 \end{array}\right]$$ has two distinct eigenvalues with $\lambda_1 < \lambda_2$.

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

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

Is the matrix $C$ diagonalizable? choose diagonalizable not diagonalizable