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3 marksMatrix Operations

CSEC Mathematics · Question 10(a)(ii)

Three matrices are given: P = [[-1, 2], [0, 5]], Q = [[a], [b]], and R = [[11], [15]].

Given that PQ = R, determine the values of a and b.

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Other parts of this question

  1. 10(a)(i)Using a calculation to support your answer, explain whether matrix P is a singular or a non-singular matrix.[2 marks]
  2. 10(a)(iii)State the reason why the matrix product QP is not possible.[1 mark]
  3. 10(b)(i)Complete the diagram below to represent ALL the information given above.[3 marks]
  4. 10(b)(ii)Given that OX + OY = k(r + s), where k is a constant, using a vector method, find the value of k.[3 marks]

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