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2 marksDeterminant of a 2x2 Matrix

CSEC Mathematics · May/June 2008 · Paper 2 · Question 14(a)

This question involves matrices and transformations. The matrix, M, is given as M = (-6 5 / -12 10).

Show that M is a singular matrix.

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Other parts of this question

  1. 14(b)Calculate the values of a and b such that: (2 1 / a 4) (5 / b) = (8 / 7).[3 marks]
  2. 14(c)(i)Given that S = (0 x / y 0), calculate the values of x and y.[3 marks]
  3. 14(c)(ii)(a)Calculate the coordinates of G'.[3 marks]
  4. 14(c)(ii)(b)Under the same transformation, H(p, q) is mapped onto H'(2, 6). Calculate the values of p and q.[3 marks]
  5. 14(c)(iii)Obtain the coordinates of the image of P(10, 12), under the combined transformation, S followed by T.[4 marks]

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