Analogous to a linear form, a bilinear form is a Bilinear map where the image is the underlying field of the vector space, e.g. $R_{n}×R_{m}→R$.

Some definitions require both of the input spaces to be the same, e.g. $R_{n}×R_{n}→R$, but it doesn't make much different in general.

The most important example of a bilinear form is the dot product. It is only defined if both the input spaces are the same.

- Multilinear map | 0, 1k, 18
- Linear map | 313, 2k, 27
- Linear algebra | 0, 6k, 114
- Algebra | 27, 11k, 216
- Mathematics | 17, 34k, 771
- Ciro Santilli's Homepage | 262, 256k, 5k

- Dot product | 295, 295, 3
- Form | 54
- Indefinite orthogonal group | 38, 421, 3
- Isometry group | 69, 206, 1
- Matrix congruence can be seen as the change of basis of a bilinear form | 63
- Matrix representation of a bilinear form | 113, 314, 1
- Quadratic form | 223
- Skew-symmetric bilinear form | 18
- Sylvester's law of inertia | 527, 626, 5
- Symmetric bilinear form | 18, 120, 1
- Symplectic group | 222, 222, 2
- What happens to the definition of the orthogonal group if we choose other types of symmetric bilinear forms | 172