MathLiveLinear transformation as matrix multiplication
Expresses a linear transformation T acting on a vector x as multiplication by a fixed matrix A. It is used to represent linear maps concretely so they can be computed and analysed with matrix methods.
T(\vec{x}) = \mathbf{A}\vec{x}What the symbols mean
| the linear transformation (mapping from one vector space to another) | |
| input vector | |
| transformation matrix representing T in the chosen bases |
About this formula
- FieldMathematics
- TopicLinear algebra
- LevelUniversity
- Also calledtransformation matrix, matrix of a linear operator, matrix of linear transformation, linear map as matrix, matrix representation of linear transformation, linear transformation matrix multiplication
- SourceWikidata Q1482183
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