LEC CAL2 12

[!Exercise]
Let $v_1,\dots ,v_n$ be a basis of $V$, $\omega \in {\bigwedge }^{n}V$. $\{v_1^{\ast }\wedge \cdots \wedge v_n^{\ast }\}$ is a basis of ${\bigwedge }^{n}V$. Show that $\omega =\omega (v_1,\dots ,v_n)(v_1^{\ast }\wedge \cdots \wedge v_n^{\ast })$.