AI engineering glossary · Linear algebra
What is norm?
Norm (also called Vector norm): A function that assigns a non-negative length or size to a vector, being zero only for the zero vector, scaling with multiplication, and obeying the triangle inequality. Different norms measure size differently and appear in distances and regularisation penalties.
Norm: an example
For v = [3, 4], the L2 norm is 5 and the L1 norm is 7.
Related terms
More Linear algebra terms
- Normal equations
- Null space
- Orthogonal matrix
- Orthogonal projection
- Orthogonal vectors
- Orthonormal basis
- Outer product
- Permutation matrix
Where you learn it
Norm is part of the AI Engineering Program, which teaches it with notes, a hands-on lab and an exam. The first lesson is free.