Let V be a n-dimensional vector space, and let be a linear operator on

Suppose that is a -invariant subspace of ,

Show that there exists a basis for such that has the form

where is a matrix and is the zero matrix

Request

The question itself confuses me. I am not sure what the question wants

If is a basis for , then has n vectors and

is a matrix

So what is this question asking us to reduce the matrix to a matrix with the entries themselves being matrices?