
Bilinearity: what does it mean? - Mathematics Stack Exchange
What does bilinear really mean? Everytime I heard the word, I think it should be "linear in 2 ways?" For example, from the definition of inner product (taken from Appendix A of "Wavelets For Comp...
Question on bilinear programming - Mathematics Stack Exchange
Jun 15, 2018 · Could someone please explain the meaning and applications of bilinear programming? I know about linear programming and the term 'bilinear' but I don't really understand the difference …
Non-degenerate bilinear forms and invertible matrices
Show that a symmetric bilinear form is nondegenerate if and only if its matrix in a basis is invertible Ok so both directions "if non-degenerate then the matrix is invertible" and "if matrix is invertible then the …
linear algebra - Definitions of non degenerate bilinear forms ...
Aug 24, 2023 · Definitions of non degenerate bilinear forms Ask Question Asked 2 years, 3 months ago Modified 2 years, 3 months ago
What is meant by a Bilinear Form? - Mathematics Stack Exchange
Sep 16, 2015 · 1 I am trying to understand what is meant by a bilinear form. It seems to be some constraint on a map of two vectors to a field. I would be grateful if someone could give me a very …
Why is quadratic form defined via a symmetric bilinear form?
Feb 22, 2015 · Edit: And is that related to the reason why we ask for a symmetric bilinear form in the definition of a positive definite bilinear form even though the definition itself $ (B (v,v)>0)$ again …
What are bilinear and quadratic forms? - Mathematics Stack Exchange
Oct 1, 2019 · Can someone explain to me what bilinear and quadratic forms are? Please, don't give me the definitions. Instead can you give me the intuitive understanding of the concepts (meaning)?
linear algebra - What is the importance of bilinear functions ...
Sep 6, 2024 · When the bilinear form is positive-definite (an inner product), then the gram determinant is positive and the absolute value may be dropped. This makes it possible to define, for example, the …
What is the difference between a linear mapping and a bilinear …
Mar 19, 2017 · Especially, what's the difference between their matrixes. I think the main difference is that in linear you cannot multiply two vectors but in bilinear mapping you can. But I'm not sure if I under...
What is a bilinear form? - Mathematics Stack Exchange
Actually the paper mentions "bilinear regression model". But I think in order to understand what a "bilinear regression model" is, I need to understand what does "bilinear form" mean.