An Important Concept In Mathematics Is the Linear Transformation Because Linear Models Can Approximately Match Many Real-World Phenomena. In Contrast to a Linear Function, a Linear Transformation Works on Both Vectors and Numbers. a Linear Mathematical Transformation to Turn a Geometric Figure (Or Matrix or Vector) In Another Format, Using a Formula of a Certain Format. the Original Components Have to Be Formatted In a Linear Combination. In a Linear Algebra, a Transition Between Two Vector Spaces Is a Rule That Assigns a Vector to a Vector Within a Given Space. Linear Transformations Are Transformations That Fulfill a Specific Additional and Scaffolding Property. 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.