AI engineering glossary · Linear algebra
What is RREF (reduced row echelon form)?
Reduced row echelon form (also called RREF): A refined row echelon shape in which each pivot equals 1 and is the only non-zero entry in its column. Every matrix has exactly one such form, so solutions to a system can be read off directly.
Reduced row echelon form: an example
[[1,0,2],[0,1,3]] means x = 2 and y = 3 for the system it came from.
Related terms
More Linear algebra terms
- Rotation matrix
- Row echelon form
- Row space
- Row vector
- Scalar
- Scalar multiplication
- Singular matrix
- Singular value
Where you learn it
Reduced row echelon form is part of the AI Engineering Program, which teaches it with notes, a hands-on lab and an exam. The first lesson is free.