 ##  [Gram-Schmidt Process](/gram-schmidt-process) 

  ##  [Gram-Schmidt Process](https://mathlogic.quantumdictionary.io/gram-schmidt-process-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A procedure in an inner-product space that converts a finite linearly independent set of vectors into an orthogonal (or orthonormal) set spanning the same subspace by successively subtracting projections.