Matrix multiplication as composition: Essence of Linear Algebra - Part 4 of 15

The video tutorial covers linear transformations, their representation using matrices, and the concept of matrix multiplication. It begins with a recap of linear transformations, explaining how they are functions with vectors as inputs and outputs. The tutorial then delves into the composition of transformations, illustrating how multiple transformations can be combined into a single matrix. The geometric meaning of matrix multiplication is discussed, emphasizing the importance of transformation order. Examples are provided to demonstrate the associative property of matrix multiplication, highlighting that the order of operations does not affect the final result.

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