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Matrix Operations · CSEC Mathematics

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

Practise Matrix Operations
  1. 14(c)(i)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Calculate the single matrix TS.
  2. 14(c)(ii)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Calculate the single matrix ST.
  3. 10(a)(i)2 marks· CSEC Mathematics · 2021 · Paper 2Calculate the matrix product \begin{pmatrix}5 & 4 \\ -3 & -2\end{pmatrix}\begin{pmatrix}2 & 1 & -4 \\ 0 & 3 & 6\end{pmatrix}.
  4. 10(a)(i)2 marks· Mathematics Q10 10(a)(i)Find the value of a and of b.
  5. 10(a)(i)a)2 marks· Mathematics Q10 10(a)(i)a)Find the matrix product [-1 3; 4 h] [k; 5].
  6. 10(a)(ii)3 marks· Mathematics Q10 10(a)(ii)Given that PQ = R, determine the values of a and b.
  7. 10(a)(iii)b)1 mark· Mathematics Q10 10(a)(iii)b)Hence, find the image of the point (1, 4) under this combined transformation.
  8. 11(a)(i)2 marks· Mathematics Q11 11(a)(i)Calculate the matrix product AB where A = [[1, 1], [2, 3]] and B = [[1, 2], [0, 1]]
  9. 11(a)(i)2 marks· Mathematics Q11 11(a)(i)Show by multiplying A and B, that AB ≠ BA.
  10. 11(a)(i)2 marks· Mathematics Q11 11(a)(i)Find AB.
  11. 11(a)(ii)2 marks· Mathematics Q11 11(a)(ii)Show that the matrix product of A and B is NOT commutative, that is, AB ≠ BA.
  12. 11(b)(i)3 marks· Mathematics Q11 11(b)(i)Calculate the values of a and b such that (a-4, b) * (2, -4; 1, -3) = (20, 0; 0, 2).
  13. 11(b)(i)2 marks· Mathematics Q11 11(b)(i)Evaluate L + 2M.
  14. 11(b)(ii)2 marks· Mathematics Q11 11(b)(ii)Evaluate LM.
  15. 11(c)(i)1 mark· Mathematics Q11 11(c)(i)Determine NP.
  16. 11(c)(i)2 marks· Mathematics Q11 11(c)(i)Calculate 2A + B.
  17. 11(c)(ii)1 mark· Mathematics Q11 11(c)(ii)Given that PN = (19, 11; 11, 4), determine whether matrix multiplication is commutative.
  18. 11(c)(iii)2 marks· Mathematics Q11 11(c)(iii)Determine the matrix A².
  19. 11(c)(iv)a)1 mark· Mathematics Q11 11(c)(iv)a)Explain why the matrix product AB is NOT possible.
  20. 11(d)(iii)2 marks· Mathematics Q11 11(d)(iii)Write down the multiplication of the two matrices which represents the superstore's takings from the sale of cell phones for each of the two weeks.
  21. 14(a)5 marks· Mathematics Q14 14(a)Calculate the values of x and y.
  22. 14(a)4 marks· Mathematics Q14 14(a)Evaluate X² + Y.
  23. 14(a)3 marks· Mathematics Q14 14(a)Evaluate L - N^2.
  24. 14(a)3 marks· Mathematics Q14 14(a)Calculate the matrix product 3AB.
  25. 14(a)(i)7 marks· Mathematics Q14 14(a)(i)Find 3A.
  26. 14(a)(iii)3 marks· Mathematics Q14 14(a)(iii)Calculate the matrix product BA. What does the product BA represent?
  27. 14(a)(iii)1 mark· Mathematics Q14 14(a)(iii)Find 3A + B⁻¹.
  28. 14(b)3 marks· Mathematics Q14 14(b)Calculate the values of a and b such that: (2 1 / a 4) (5 / b) = (8 / 7).
  29. 14(b)(i)2 marks· Mathematics Q14 14(b)(i)Write a single matrix, in the form ((a, b), (c, d)), to represent the combined transformation S followed by R.
  30. 14(b)(ii)4 marks· Mathematics Q14 14(b)(ii)Using the two matrices in b(i) above, obtain a SINGLE matrix for a reflection in the y-axis followed by a reflection in the line y = x.
  31. 14(b)(iii)2 marks· Mathematics Q14 14(b)(iii)Show that R R^-1 = I.

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