AI engineering glossary · Linear algebra
What is subspace?
Subspace: A smaller vector space living inside a bigger one: it contains the zero vector and stays closed under addition and scaling. Lines and planes through the origin are subspaces of ordinary 3-D space.
Subspace: an example
In 3-D space, the set of all points with z = 0 is a subspace: the flat x-y plane through the origin.
Related terms
More Linear algebra terms
- Symmetric matrix
- System of linear equations
- Tensor
- Tensor contraction
- Tensor rank
- Trace
- Transpose
- Triangular matrix
Where you learn it
Subspace is part of the AI Engineering Program, which teaches it with notes, a hands-on lab and an exam. The first lesson is free.