Category: linear-algebra
- Symplectic Spaces ()
We come across vector spaces equipped with an inner-product frequently. But instead of an inner product, we could have a skew-symmetric and non-degenerate bilinear form on it. Such spaces are called as symplectic vector spaces. More formally, Definition: Let be an -dimensional real vector space and be a bilinear map such that 1. . (skew-symmetry) […]