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Matrix Representation of Transformations · CSEC Mathematics

31 past-paper questions on Matrix Representation of Transformations, part of VECTORS AND MATRICES, from every CSEC Mathematics paper on Quelpr.

Practise Matrix Representation of Transformations
  1. 14(b)(i)1 mark· CSEC Mathematics · 2003 (Specimen) · Paper 2State the matrix S that represents the transformation, a reflection in the line y = x.
  2. 14(b)(ii)1 mark· CSEC Mathematics · 2003 (Specimen) · Paper 2State the matrix T that represents the transformation, a reflection in the x-axis.
  3. 3(b)(iii)1 mark· Mathematics Q3 3(b)(iii)State the 2 × 2 matrix for the transformation that maps triangle ABC onto triangle LMN.
  4. 10(a)(i)2 marks· Mathematics Q10 10(a)(i)Determine the values of p and q.
  5. 11(a)(i)2 marks· Mathematics Q11 11(a)(i)Determine the values of c and d.
  6. 11(a)(ii)1 mark· Mathematics Q11 11(a)(ii)Determine the image of (-5, 4) under the transformation T.
  7. 11(a)(iii)2 marks· Mathematics Q11 11(a)(iii)Describe FULLY the geometric transformation, M.
  8. 11(b)3 marks· Mathematics Q11 11(b)Determine the coordinates of P.
  9. 11(b)(i)2 marks· Mathematics Q11 11(b)(i)Determine the values of a and b.
  10. 11(c)(i)1 mark· Mathematics Q11 11(c)(i)Write down a matrix, H, of size 2 x 2 which represents an enlargement of scale factor 3 about the origin.
  11. 14(a)(v)3 marks· Mathematics Q14 14(a)(v)Write down the 2 x 2 matrix for the transformation which maps triangle P onto triangle S.
  12. 14(b)5 marks· Mathematics Q14 14(b)Determine the values p, q, r and s.
  13. 14(b)(i)2 marks· Mathematics Q14 14(b)(i)State the effect of V on triangle ABC.
  14. 14(b)(i)6 marks· Mathematics Q14 14(b)(i)Determine the values of p, q, r and s.
  15. 14(b)(i)8 marks· Mathematics Q14 14(b)(i)Write down the 2x2 matrix, R, which represents a reflection in the y-axis.
  16. 14(b)(i)a)4 marks· Mathematics Q14 14(b)(i)a)Write down the 2 x 2 matrix for a reflection in the y-axis.
  17. 14(b)(i)b)4 marks· Mathematics Q14 14(b)(i)b)Write down the 2 x 2 matrix for a reflection in the line y = x.
  18. 14(b)(ii)3 marks· Mathematics Q14 14(b)(ii)Calculate the image of the point (5, -2) under the combined transformation in (b)(i) above.
  19. 14(b)(ii)2 marks· Mathematics Q14 14(b)(ii)Using matrices only, write an equation to represent the transformation of AC onto A'C'.
  20. 14(b)(ii)1 mark· Mathematics Q14 14(b)(ii)Write down the 2x2 matrix, N, which represents a clockwise rotation of 180° about the origin.
  21. 14(b)(ii)a)1 mark· Mathematics Q14 14(b)(ii)a)Write the matrix which represents the transformation described above as J.
  22. 14(b)(ii)b)1 mark· Mathematics Q14 14(b)(ii)b)Write the matrix which represents the transformation described above as K.
  23. 14(b)(iii)2 marks· Mathematics Q14 14(b)(iii)Determine the values of p, q, r and s.
  24. 14(c)3 marks· Mathematics Q14 14(c)Calculate the values of p and q.
  25. 14(c)(i)3 marks· Mathematics Q14 14(c)(i)Given that S = (0 x / y 0), calculate the values of x and y.
  26. 14(c)(i)3 marks· Mathematics Q14 14(c)(i)Calculate the image, (x', y'), of (3, -1) under N.
  27. 14(c)(i)8 marks· Mathematics Q14 14(c)(i)Describe FULLY the transformation, V.
  28. 14(c)(ii)8 marks· Mathematics Q14 14(c)(ii)Describe FULLY the transformation, W.
  29. 14(c)(ii)3 marks· Mathematics Q14 14(c)(ii)Calculate the coordinates of the point, (x, y), which is mapped by N onto (7, 4).
  30. 14(c)(ii)a)5 marks· Mathematics Q14 14(c)(ii)a)Determine the 2 x 2 matrix that represents a clockwise rotation of 90° about the origin.
  31. 14(c)(ii)c)5 marks· Mathematics Q14 14(c)(ii)c)Determine the 2 x 2 matrix that maps triangle DEF onto triangle D''E''F''.

Related topics in VECTORS AND MATRICES