Business Applications of Matrices

Matrices are a natural fit for organising the kind of tabular data a business generates every day, and matrix multiplication in particular turns a routine calculation — combining quantities with prices, or cost rates with output levels — into a single, systematic operation instead of many separate ones.

Quantity-price (or quantity-cost) matrices

If a firm sells several products at several branches, a quantity matrix $Q$ (branches × products) records units sold, and a price/cost matrix $C$ (products × 1) records the price or cost per unit of each product. The matrix product $QC$ then gives, in one step, a column matrix of TOTAL revenue (or total cost) at each branch — the worked business example in this chapter's Worked Examples shows this calculation in full.

Why this matters for Odisha CHSE Business Mathematics and Statistics

This use of matrices — condensing many separate multiply-and-add calculations into one matrix product — is exactly the kind of practical, exam-relevant application the Odisha Council of Higher Secondary Education (CHSE) Class 11 Commerce Business Mathematics and Statistics syllabus emphasises alongside the pure algebra of matrices: the same row-by-column multiplication rule from earlier in this chapter, applied to real business data.

A note on scale …