AI engineering glossary · Linear algebra
What is row space?
Row space: The set of all linear combinations of a matrix's rows. Its dimension equals that of the column space, so row and column counts of independent directions always agree.
Row space: an example
For [[1,2],[2,4]], every row is a multiple of [1, 2], so the row space is that single line.
Related terms
More Linear algebra terms
- Row vector
- Scalar
- Scalar multiplication
- Singular matrix
- Singular value
- Singular value decomposition
- Span
- Sparse matrix
Where you learn it
Row space is part of the AI Engineering Program, which teaches it with notes, a hands-on lab and an exam. The first lesson is free.