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Definition LT. Linear Transformation. A linear transformation, T : U â V , is a function that carries elements of the vector space U (called the domain) to the vector space V (called the codomain), and which has two additional properties.
The takeaway message is. Linear algebra is the study of vectors and linear transformations. In broad terms, vectors are things you can add and linear functions are very. special functions of vectors that respect vector addition. To understand this. a little better, lets try some examples.