[[
wikihub
]]
Search
⌘K
Explore
People
For Agents
Sign in
Explore
People
For Agents
Sign in
×
@jemoka / Jemoka Knowledge Base / wiki/concepts/finite_dimensional_vector_space.md
Suggest edit
Cancel
Submit suggestion
Title
Name
Note
--- title: "finite-dimensional vector space" type: concept related: [Vector Space, Finite Dimensional Vector Space, Basis] source: https://www.jemoka.com/posts/kbhfinite_dimensional_vector_space/ confidence: high status: active --- A finite-dimensional vector space is a vector space where some actual list (which remember, has finite length) of vectors spans the space. An infinite-demensional vector space is a vector space that’s not a finite-dimensional vector space. additional information every finite-dimensional vector space has a basis Begin with a spanning list in the finite-dimensional vector space you are working with. Apply the fact that all spanning lists contains a basis of which you are spanning. Therefore, some elements of that list form a basis of the finite-dimensional vector space you are working with. \(\blacksquare\) finite-dimensional subspaces finite-dimensional subspaces