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2 marksInverse of a 2x2 Matrix

CSEC Mathematics · May/June 2013 · Paper 2 · Question 11(b)(i)

Given that matrix M = [[2, 1], [4, 3]].

Evaluate M⁻¹, the inverse of M.

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Other parts of this question

  1. 11(a)(i)a)Express in terms of a and b the vector AB.[2 marks]
  2. 11(a)(i)b)Express in terms of a and b the vector PQ.[2 marks]
  3. 11(a)(ii)State TWO geometrical relationships that exist between OB and PQ. Give reasons for your answers.[2 marks]
  4. 11(b)(ii)Show that M⁻¹M = I.[2 marks]
  5. 11(b)(iii)Use a matrix method to solve for r, s, t and u in the equation [[2, 1], [4, 3]] * [[r, s], [t, u]] = [[2, 1], [4, -1]].[5 marks]

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