  In this paper, we study the finite time blowup of the generalized Euler ODE
in the matrix geometry. We can extend Sullivan's result which is about the
finite time blowup result of initial invertible linear operators to singular
linear operators. we can give a complete answer to the question of Sullivan in
the case when the initial matrix A is symmetric in the finite dimensional
vector space W. Some open questions are proposed in the last part of the paper.
