bilinear
defined by the vector space V on the coefficient body F bilinear format B: V × V → F is $ B(u + v, w) = B(u, w) + B(v, w)
$ B(u, v + w) = B(u, v) + B(u, w)
$ B(\lambda u, v) = B(u, \lambda v) = \lambda B(u, v)
Satisfy the following.
As a concrete example, consider the inner product $ B(u, v) = u \cdot v, which satisfies the above conditions.
relevance
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