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The Sales Figure of Two Car Dealers During January 2013 Showed that Dealer a Sold 5 Deluxe, 3 Premium and 4 Standard Cars, While Dealer B Sold 7 Deluxe, 2 Premium and 3 Standard Cars. - Mathematics

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Question

The sales figure of two car dealers during January 2013 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January-February revealed that dealer A sold 8 deluxe 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2 × 3 matrices summarizing sales data for January and 2-month period for each dealer.

Sum

Solution

According to the data, dealer A sold 5 deluxe cars, 3 premium cars and 4 standard cars in January. Also, dealer B sold 7 deluxe cars, 2 premium cars and 3 standard cars in January.

The above information can be given by

          Deluxe   Premium  Standard

Dealer A
Dealer B  `[[      5                  3                       4],[7              2                        3]]`

Total sales over the period of January-February reveals that dealer A sold 8 deluxe cars, 7 premium cars and 6 standard cars, while dealer B sold 10 deluxe cars, 5 premium cars and 7 standard cars.

This information can be given by

                             Deluxe  Premium   Standard

Dealer A
Dealer B`[[8        7         6],[10         5       7]]`

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Chapter 5: Algebra of Matrices - Exercise 5.1 [Page 8]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.1 | Q 18 | Page 8

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