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O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2017 · Q214 Marks

Express 3((3 1) (-5 -4)) - 2((1 -3) (0 2)) as a single matrix.

  1. (a)Express 3((3 1) (-5 -4)) - 2((1 -3) (0 2)) as a single matrix.[2]
  2. (b)Find the inverse of ((-3 1) (-5 -4)).[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [2] 21(a) ((7 9) (-15 -16))
  2. C1 for two or three correct elements,
  3. or for 3 or 4 elements of ((11 -3) (-15 -8))
  4. [2] 21(b) 1/17 ((-4 -1) (5 -3)) oe, e.g. ((-4/17 -1/17) (5/17 -3/17))
  5. B1 for (det A =) -7 or B1 for ((-4 -1) (5 -3)) seen

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 21.

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