Why Matrix Multiplication Uses Rows and Columns - The Logic Explained

Discover the fundamental logic behind matrix multiplication through a clear supply-chain analogy that reveals why the "row by column" method is the only logical way to combine systems of data. Learn to determine matrix compatibility using the "Inside Match" rule, then master the step-by-step mechanics of multiplying both 2x2 and non-square matrices. Understand why matrix multiplication is non-commutative (AB≠BA) and explore real-world applications in computer graphics and 3D rotation. The tutorial progresses from addressing common misconceptions about matrix multiplication to demonstrating practical applications, making the abstract concept accessible through manufacturing logic that naturally derives the multiplication rule from first principles.