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Inverse of a 2x2 Matrix · CSEC Mathematics

24 past-paper questions on Inverse of a 2x2 Matrix, part of VECTORS AND MATRICES, from every CSEC Mathematics paper on Quelpr.

  1. 10(b)2 marks· CSEC Mathematics · 2021 · Paper 2Determine the inverse of \begin{pmatrix}5 & 4 \\ -3 & -2\end{pmatrix}.
  2. 10(a)(ii)2 marks· Mathematics Q10 10(a)(ii)Determine the transformation matrix that maps A' to A.
  3. 11(a)2 marks· Mathematics Q11 11(a)Determine the inverse of the matrix [[3, 5], [2, 4]].
  4. 11(a)(i)3 marks· Mathematics Q11 11(a)(i)Determine, T⁻¹, the inverse of T.
  5. 11(a)(ii)2 marks· Mathematics Q11 11(a)(ii)Find A⁻¹, the inverse of A.
  6. 11(a)(ii)1 mark· Mathematics Q11 11(a)(ii)Determine B^-1, the inverse of B.
  7. 11(a)(iii)2 marks· Mathematics Q11 11(a)(iii)Find A⁻¹, the inverse of A.
  8. 11(a)(iv)2 marks· Mathematics Q11 11(a)(iv)Find the matrix that maps the point Q back onto the point P.
  9. 11(b)(i)2 marks· Mathematics Q11 11(b)(i)Evaluate M⁻¹, the inverse of M.
  10. 11(b)(ii)2 marks· Mathematics Q11 11(b)(ii)Hence, or otherwise, write down the inverse of (2, -4; 1, -3).
  11. 11(c)(i)2 marks· Mathematics Q11 11(c)(i)Determine A⁻¹, the inverse of A.
  12. 11(c)(i)2 marks· Mathematics Q11 11(c)(i)Find Q⁻¹.
  13. 11(c)(ii)2 marks· Mathematics Q11 11(c)(ii)Determine B⁻¹, the inverse of B.
  14. 11(c)(iii)2 marks· Mathematics Q11 11(c)(iii)Determine N^-1, the inverse of N.
  15. 14(a)(i)2 marks· Mathematics Q14 14(a)(i)Find the inverse of the matrix M = [[2, 1], [-1, 3]].
  16. 14(a)(ii)2 marks· Mathematics Q14 14(a)(ii)find M⁻¹.
  17. 14(a)(ii)1 mark· Mathematics Q14 14(a)(ii)Find B⁻¹.
  18. 14(a)(ii)1 mark· Mathematics Q14 14(a)(ii)Write down the inverse of M.
  19. 14(b)2 marks· Mathematics Q14 14(b)Find the 2 x 2 matrix which maps Q' back to Q.
  20. 14(b)(i)6 marks· Mathematics Q14 14(b)(i)Find M^-1, the inverse of M.
  21. 14(b)(ii)2 marks· Mathematics Q14 14(b)(ii)Find R^-1, the inverse of R.
  22. 14(b)(ii)5 marks· Mathematics Q14 14(b)(ii)Determine the inverse of matrix A.
  23. 14(b)(ii)b)2 marks· Mathematics Q14 14(b)(ii)b)Show that A⁻¹ = [[-4/7, 5/7], [3/7, -2/7]].
  24. 14(c)(i)2 marks· Mathematics Q14 14(c)(i)Determine the inverse matrix of N.