A Linear Transformation Is an Important Concept In Mathematics Because Many Real World Phenomena Can Be Approximated By Linear Models. a Linear Transformation Operates on Both Vectors and Numbers, As Opposed to a Linear Function. a Linear Mathematical Transformation, With the Aid of a Formula of a Certain Format, to Turn a Geometric Figure (Or Matrix or Vector) into Another. a Linear Combination In Which the Original Components Are Present Must Be the Format. a Transition Between Two Vector Spaces In Linear Algebra Is a Rule That Assigns a Vector In One Space to a Vector In the Other. Linear Transformations Are Transformations Which Satisfy a Specific Property For Addition and Scaffolding. the Present Lecture Discusses the Fundamental Notation of Transformations, What 'Pic' and What Is Meant By 'Range,' and What Distinguishes a Linear Transformation from Other Transformations.