Nonlinear-Control-Homework 3 Solved

Let ω1 be a p-form and ω2 is a q-form.

(i)     Is it true or false that ω1∧ω2 = (−1)p+q ω2∧ω1 ? Proove it.

(ii)   Is it true or false that ω1∧ω2 = (−1)p.q ω2∧ω1 ? Proove it.