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1 markInverse of a 2x2 Matrix

CSEC Mathematics · May/June 2010 · Paper 2 · Question 11(a)(ii)

A and B are two 2 x 2 matrices such that A = ((1, 2), (2, 5)) and B = ((5, -2), (-2, 1)).

Determine B^-1, the inverse of B.

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Other parts of this question

  1. 11(a)(i)Find AB.[2 marks]
  2. 11(a)(iii)Write ((x), (y)) as the product of TWO matrices.[2 marks]
  3. 11(a)(iv)Hence, calculate the values of x and y.[2 marks]
  4. 11(b)(i)Copy the diagram in your answer booklet and show the points M and N.[2 marks]
  5. 11(b)(ii)a)Write, in terms of u and v, an expression for vector JK[4 marks]
  6. 11(b)(ii)b)Write, in terms of u and v, an expression for vector MN[4 marks]
  7. 11(b)(ii)c)Write, in terms of u and v, an expression for vector KL.[4 marks]
  8. 11(b)(iii)Using your findings in (b)(ii), deduce TWO geometrical relationships between KL and MN.[2 marks]

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