Constructing Matrices for Sales Data
Question:
Write \(2 \times 3\) matrices for January sales and total 2-month sales for two car dealers.
Step 1: Understand Structure
Rows → Dealers (A and B)
Columns → Types of cars (Deluxe, Premium, Standard)
Step 2: January Sales Matrix
Dealer A: 5, 3, 4 Dealer B: 7, 2, 3
\[ A = \begin{bmatrix} 5 & 3 & 4 \\ 7 & 2 & 3 \end{bmatrix} \]
Step 3: Two-Month (Jan–Feb) Sales Matrix
Dealer A: 8, 7, 6 Dealer B: 10, 5, 7
\[ B = \begin{bmatrix} 8 & 7 & 6 \\ 10 & 5 & 7 \end{bmatrix} \]
Final Answer
January matrix:
\[ \begin{bmatrix} 5 & 3 & 4 \\ 7 & 2 & 3 \end{bmatrix} \]
Two-month matrix:
\[ \begin{bmatrix} 8 & 7 & 6 \\ 10 & 5 & 7 \end{bmatrix} \]