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2 marksInverse of a 2x2 Matrix

CSEC Mathematics · May/June 2017 · Paper 2 · Question 11(a)(ii)

Matrices A and B are such that A = [[3, 2], [5, 4]] and B = [[4, 0], [3, -1]].

Find A⁻¹, the inverse of A.

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Other parts of this question

  1. 11(a)(i)Show by multiplying A and B, that AB ≠ BA.[2 marks]
  2. 11(a)(iii)Write down the 2 × 2 matrix representing the matrix product AA⁻¹.[1 mark]
  3. 11(b)(i)Write the following pair of simultaneous equations as a matrix equation.[1 mark]
  4. 11(b)(ii)Write the solution of your matrix equation in (b)(i) as a product of two matrices.[2 marks]
  5. 11(c)(i)Express in the form [x, y], vector OS.[1 mark]
  6. 11(c)(ii)Express in the form [x, y], vector PQ.[2 marks]
  7. 11(c)(iii)Express in the form [x, y], vector RS.[2 marks]
  8. 11(c)(iv)State TWO geometrical relationships between PQ and RS.[2 marks]

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