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2 marksMatrix Operations

CSEC Mathematics · January 2013 · Paper 2 · Question 11(d)(iii)

A superstore sells 3 models of cell phones: Model A costs 40 each, Model B costs 55 each, and Model C costs $120 each. The weekly sales for 2 weeks in June were: Week 1 (2 Model A, 5 Model B, 3 Model C) and Week 2 (no Model A, 6 Model B, 10 Model C).

Write down the multiplication of the two matrices which represents the superstore's takings from the sale of cell phones for each of the two weeks.

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Other parts of this question

  1. 11(a)(i)Express MK in terms of u and v.[1 mark]
  2. 11(a)(ii)Express SL in terms of u and v.[2 marks]
  3. 11(a)(iii)Express OS in terms of u and v.[2 marks]
  4. 11(b)Determine the coordinates of P.[3 marks]
  5. 11(c)(i)Write down a matrix, H, of size 2 x 2 which represents an enlargement of scale factor 3 about the origin.[1 mark]
  6. 11(c)(ii)Determine the coordinates of the point (5, -7) under the combined transformation, H followed by J.[2 marks]
  7. 11(d)(i)Write down a matrix of size 3 x 2 which represents the sales for the two weeks.[1 mark]
  8. 11(d)(ii)Write down a matrix of size 1 x 3 which represents the cost of the different models of cell phones.[1 mark]

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