Let V be an n-dimensional vector space, and let T:V->V be a linear transformation. Suppose that W is a T-invariant subspace of V having dimension k. Show that there is a basis $\displaystyle \beta$ for V such that [T]_$\displaystyle \beta$ has the form : (this is supposed to be a matrix im still working on my latex)

(A B

O C) where A is a kxk matrix and O is the (n-k)xk zero matrix.