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What is Matrix Representation of Linear Transformations about?

1) A linear transformation T from a vector space V to a vector space W can be represented by a unique m x n matrix A relative to ordered bases B of V and B0 of W. 2) The entries of A are the coordinates of T(bi) with respect to B0, where bi are the basis elements of B. 3) Conversely, any m x n matrix A corresponds to a unique linear transformation T from V to W with A as its matrix relative to the bases B and B0.

Author

ALMUSTAPHA UMAR

Language

EN