I want to know whether ot not Proposition 1.12 (2) in p. 120 of the book [KN] is typo.

[KN] : Foundations of differential geometry Volume II - Kobayashi and Nomizu 1969 Interscience Publishing

Let $\phi$ be a two form associated to Hermitian inner product $h$ such that $\phi(X,Y) = h(X,JY)$ where $J$ is an almost complex structure.

Then Proposition 1.12 (2) says that $\phi = -2i \sum_{j,k=1}^n h_{j\overline{k}} \xi^j \wedge \overline{\xi}^k$

I can not understand why 2 is needed in the above equation.

In the proof,

$\phi(Z,W)=-i\sum_{j,k=1}^n h_{j\overline{k}}
(\xi^j(Z)\overline{\xi}^k(W)-\xi^j(W)\overline{\xi}^k (Z))$.
This equation can be understood. In fact, in (5) of p. 155 the fundamental two form also
has 2 (i.e. $\Phi = -2i \sum_{i, j} g_{ij} dz^i \wedge d\overline{z}^j$). Summarizingly, do Proposition 1.12 (2) in p. 120 and (5) of p. 155 have typos ?

Or, please give me an explanation.