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Linear Algebra Definitions

Last updated: 1/9/2025

Symmetric

A transpose = A

Vector Space

Defining by example, a vector space is a space that is defined by N vectors such that you can multiply and add vectors in that space and they map to other regions in that space.

Subspace

A subspace is a vector space inside of another vector space.

Column Space

A column space is a vector space with "dimension" n (there are only n eigenvectors that uniquely represent that space) and m >= n which is the linear combination of the column vectors in the matrix.

Related

  1. [[Linear Algebra]]