Songfang Jia
Abstract
It is an important conclusion of linear algebra that the linear transformation is completely and uniquely determined by its action on the base of linear space.This article popularizes this conclusion,and obtains the sufficient and necessary conditions on which a linear transformation exists between any two vectors of the linear space.
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It is an important conclusion of linear algebra that the linear transformation is completely and uniquely determined by its action on the base of linear space.This article popularizes this conclusion,and obtains the sufficient and necessary conditions on which a linear transformation exists between any two vectors of the linear space.
Key concepts: Linear map, Transformation (genetics), Mathematics, Linear space, Linear form, Space (punctuation), Continuous linear operator, Linear algebra