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O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2019 · Q246 Marks

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

  1. (a)Express 3((1,-1), (0,-2)) - 2((-1,1), (2,-1)) as a single matrix.[2]
  2. (b)Find the inverse of ((1,1), (0,1)).[2]
  3. (c)Find the matrix X such that X(3 2) = ((6,-4), (-3,-2)).[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [2] (a) ( (5,-5), (-4,4) ) B1 for two or three correct elements
  2. [2] (b) ( (1,-1), (0,1) ) oe isw B1 for k( (1,-1), (0,1) ) oe with k ≠ 2 or 0 or for 2(::) oe
  3. [2] (c) ( (2), (-1) ) M1 for using X is a 2 by 1 matrix If 0 scored, SC1 for a final answer of ( (2), (-1) )

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, Oct/Nov 2019 Paper 1 Variant 2, question 24.

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