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5 marksMatrices and Systems of Linear Equations

CAPE Pure Mathematics Unit 2 · May/June 2018 · Paper 2 · Question 5(d)(i)

Two matrices are given as A = [[5, -2, 3], [0, 3, -4], [2, 0, 6]] and B = [[18, 12, -1], [-8, 24, 20], [-6, -4, 15]].

By finding AB, deduce that A^(-1) = 1/88 B.

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Other parts of this question

  1. 5(a)(i)Calculate P(A intersect B).[3 marks]
  2. 5(a)(ii)Determine whether events A and B are independent. Justify your response.[3 marks]
  3. 5(b)A committee of 4 persons is to be chosen from 8 persons, including Mr Smith and his wife. Mr Smith will not join the committee without his wife, but his wife…[5 marks]
  4. 5(c)How many odd numbers greater than 500 000 can be made from the digits 2, 3, 4, 5, 6, 7 without repetitions?[5 marks]
  5. 5(d)(ii)Hence, or otherwise, solve the system of equations given by [[5, -2, 3], [0, 3, -4], [2, 0, 6]] [[x], [y], [z]] = [[7], [11], [-6]].[4 marks]

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