Gram-Schmidt Calculator
Generate orthogonal and orthonormal vectors.
Table of Contents
How to Use
- Enter vectors as rows separated by new lines
- Submit to get orthogonal and normalized results
- Copy the basis for further calculations
Process overview
Gram-Schmidt subtracts projections to build perpendicular vectors.
Normalization
Each orthogonal vector is scaled to unit length to form an orthonormal set.
Frequently Asked Questions
- Do vectors need to be independent?
- Dependent vectors will create zeros; the calculator still returns a basis for the span.
- Which dimensions are supported?
- Any consistent dimension works as long as all vectors share the same length.