Why is matrix multiplication not commutative?

In business mathematics and statistics, matrices are widely used for financial modeling, economic forecasting, and data analysis. One fundamental property of matrix operations is that matrix multiplication is not commutative, meaning that for two matrices AA and BB, generally:

A×B≠B×AA \times B \neq B \times A

Reasons Why Matrix Multiplication Is Not Commutative:

1. Dimensional Constraints
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