Matrix Multiplication Properties PROVED | FREE Linear Algebra Course

In this video, we prove all matrix multiplication properties: matrix multiplication is associative, matrix multiplication distributes across matrix addition, and matrix multiplications works nicely with scalar multiplication. We also observe that matrix multiplication is not commutative, and that in general several other properties of multiplication of numbers do not work for multiplication of matrices.

This video is part of a linear algebra course

Students often ask is linear algebra important and is linear algebra hard. They wonder can anyone learn linear algebra and why some can't understand linear algebra. It is important to show to the students how linear algebra is used in data science, machine learning, AI, computer science, image processing, computer graphics, and in real life in general. This is a free video course in linear algebra for everyone, even beginners. It covers linear algebra with applications.

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