3 marksMatrix Representation of Transformations

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

A geometric transformation, S, maps E (5, 2) onto E' (2, -5).

Given that S = (0 x / y 0), calculate the values of x and y.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

14(a)Show that M is a singular matrix.[2 marks]
14(b)Calculate the values of a and b such that: (2 1 / a 4) (5 / b) = (8 / 7).[3 marks]
14(c)(ii)(a)Calculate the coordinates of G'.[3 marks]
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]
14(c)(iii)Obtain the coordinates of the image of P(10, 12), under the combined transformation, S followed by T.[4 marks]

More practice: the rest of this paper · more Matrix Representation of Transformations questions · all CSEC Mathematics past papers