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O-LevelAdditional MathematicsSimultaneous equations4037/11 · May/June 2014 · Q67 Marks

Matrices A and B are such that A = (-1 4; 7 6) and B = (2 1; 3 5)

  1. (i)Find AB.[2]
  2. (ii)Find B⁻¹.[2]
  3. (iii)Using your answer to part (ii), solve the simultaneous equations 4x + 2y = -3, 6x + 10y = -22.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [M1] M1 for at least 3 correct elements of a 3 × 2 matrix
  2. [A1] A1 for all correct
  3. [B1] B1 for (1/7)
  4. [B1] B1 for (5 -1; -3 2)
  5. [M1] M1 for obtaining in matrix form
  6. [M1] M1 for pre-multiplying by B⁻¹
  7. [A1] A1 for both

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About this question

Topic
Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, May/June 2014 Paper 1 Variant 1, question 6.

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