Business I / Matrix Product
Practice question · Multiple choice

Matrix QQ (3 products × 2 branches) holds units sold; row vector pp (1×31\times 3) holds unit prices. What does pQpQ compute?

Hints
  1. Check dimensions: (1×3)(3×2)(1\times 3)(3\times 2).
  2. Each branch column gets swept by the price row.
Show the answer

A. Total revenue per branch, a 1×21\times 2 row

Why

(1×3)(3×2)=1×2(1\times 3)(3\times 2) = 1\times 2: for each branch, prices × quantities summed over products, revenue per branch. The dot product is the invoice total.

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