Inner-product spaces
Inner-product spaces [ edit ] Main article: Inner product space This section may require cleanup to meet Wikipedia's quality standards . The specific problem is: Need for a more encyclopedic style, which is homogeneous with the style of preceding sections. Also, some details do not belong to this general article but to more specialized ones. Also, inner product spaces should appear as a special instance of the more general concept of bilinear form . Finally, complex conjugation should appear in a specific section on linear algebra over the complexes. Please help improve this section if you can. ( August 2018 ) ( Learn how and when to remove this template message ) Besides these basic concepts, linear algebra also studies vector spaces with additional structure, such as an inner product . The inner product is an example of a bilinear form , and it gives the vector space a geometric structure by al...