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O-LevelAdditional MathematicsSimultaneous equations4037/11 · May/June 2018 · Q76 Marks

Find the inverse of the matrix ( (4 -2) (-5 3) )

  1. (i)Find the inverse of the matrix ( (4 -2) (-5 3) )[2]
  2. (ii)Hence solve the simultaneous equations 8x - 4y - 5 = 0, -10x + 6y - 7 = 0.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [B1] for 1/2
  2. [B1] for ( (3 2) (5 4) )
  3. [B1] Relating solution of these equations to matrix in (i)
  4. [B1] for adapted equation or ( (2.5) (3.5) ) or ( (2) (7/2) )
  5. [M1] Correct method for pre-multiplication by their inverse matrix.
  6. [A2] A1 for each. Condone in matrix form.

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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, May/June 2018 Paper 1 Variant 1, question 7.

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