## geometric multiplicity

Can you help me with this, please!

Suppose that A and B are two nxn complex matrices both having characteristic polynomial (z - Lambda )^n , and both having the same minimal polynomial . Suppose also that the geometric multiplicity of Lambda as an eigenvalue of A is the same as the geometric multiplicity of Lambda as an eigenvalue of B. Prove that A and B have the same Jordan form , or give a counterexample .

Thanks!