##  [Change of Basis](/change-basis) 

  ##  [Change of Basis](https://puremath.quantumdictionary.io/change-basis-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Applying an invertible linear transformation to express vectors, multilinear forms, or linear operators with respect to a different chosen basis, yielding new coordinate representations related by the change-of-basis matrix.