IGNOU BCOC 134 2025 - Why is matrix multiplication not commutative?

Question

Why is matrix multiplication not commutative?

17 Nov 2025

Answer :

Word Count : 305

In business mathematics and statistics, matrices are used to organize and manipulate data efficiently, such as in input-output analysis, financial modeling, and statistical computations. Matrix multiplication involves taking the rows of the first matrix and the columns of the second matrix to calculate each element of the resulting matrix. The fundamental reason why matrix multiplication is not commutative lies in this procedure: the position of rows and columns is crucial for determining the products that form the resulting elements.

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