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O-LevelAdditional MathematicsSimultaneous equations4037/22 · Oct/Nov 2011 · Q46 Marks

It is given that A = (3 -2 / 1 -5) , B = (1 -4 2 / -3 0 5) and C = (4 / 2 / -7)

  1. (i)Calculate AB.[2]
  2. (ii)Calculate BC.[2]
  3. (iii)Find the inverse matrix, A⁻¹.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.

  1. [M1] (i) Matrix multiplication
  2. [A1] (i) (9 -22 6 / 16 -29 2)
  3. [M1] (ii) Matrix multiplication
  4. [A1] (ii) (18 / -2)
  5. [B1+B1] (iii) 1/13 (-5 2 / -1 3) or 1/13 (5 -2 / 1 -3)

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About this question

Topic
Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2011 Paper 2 Variant 2, question 4.

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