Bilinear Form is Reflexive iff Symmetric or Alternating

Theorem
Let $\mathbb K$ be a field.

Let $V$ be a vector space over $\mathbb K$.

Let $b$ be a bilinear form on $V$.

Then the following are equivalent:


 * $(1): \quad$ $b$ is reflexive
 * $(2): \quad$ $b$ is symmetric or alternating

1 implies 2
Follows from Reflexive Bilinear Form is Symmetric or Alternating

2 implies 1
Follows from:
 * Symmetric Bilinear Form is Reflexive
 * Alternating Bilinear Form is Reflexive