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O-LevelMathematicsVectors and transformations4024/12 · May/June 2020 · Q256 Marks

A = (2 0 / -3 -1)

  1. (a)Evaluate 2A - (-5 4 / 0 3)[2]
  2. (b)Find |A|.[1]
  3. (c)Find A⁻¹.[1]
  4. (d)Find the matrix X, where XA = (4 -2).[2]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [2] (9 -4 / -6 -5)
  2. B1 for two or three correct elements
  3. [1] -2
  4. [1] 1/(-2) (-1 0 / 3 2) oe
  5. FT their -2 / 3 2
  6. [2] (5 2)
  7. B1 for one correct element in 1 by 2 matrix
  8. or M1 for X = (4 -2) A⁻¹ oe
  9. or for (2x - 3y -y) = (4 -2) oe
  10. If 0 scored, SC1 for answer (5 / 2)

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, May/June 2020 Paper 1 Variant 2, question 25.

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