Question

Define scalar multiplication of a bi linear form

Answer 1

The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms. 

Answer 2

Answer:

From Wikipedia, the free encyclopedia. In mathematics, a bilinear form on a vector space V is a bilinear map V × V → K, where K is the field of scalars. In other words, a bilinear form is a function B : V × V → K that is linear in each argument separately: B(u + v, w) = B(u, w) + B(v, w) and B(λu, v) = λB(u, v)