##### Example4.2.4

The diagonal matrix $$\left[\begin{array}{rr} 3 \amp 0 \\ 0 \amp 3 \\ \end{array}\right]$$ has the characteristic equation $$(3-\lambda)^2 = 0\text{.}$$ There is a single eigenvalue $$\lambda = 3$$ having multiplicity $$m = 2\text{,}$$ and we saw earlier that $$\dim E_3 = 2 \leq m = 2\text{.}$$

in-context