Bilinear map
In mathematics, a bilinear map is a function combining elements of two vector spaces to yield an element of a third vector space, and is linear in each of its arguments. Matrix multiplication is an example.
Bilinear map - Wikipedia Jump to content From Wikipedia, the free encyclopedia Function of two vectors linear in each argument In mathematics , a bilinear map is a function combining elements of two vector spaces to yield an element of a third vector space, and is linear in each of its arguments. Matrix multiplication is an example. A bilinear map can also be defined for modules . For that, see the article pairing . Definition [ edit source ] Vector spaces [ edit source ] Let V , W {\displaystyle V,W} and X {\displaystyle X} be three vector spaces over the same base field F {\displaystyle F} .
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