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2 marksInverse of a 2x2 Matrix

CSEC Mathematics · Question 11(c)(i)

The matrices A and B are given as A = ((-1, 0), (3, 2)) and B = ((-3, 2, 1), (1, 4, 6)).

Determine A⁻¹, the inverse of A.

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Other parts of this question

  1. 11(a)(i)Determine the vector OQ.[2 marks]
  2. 11(a)(ii)Show that OQ is parallel to RS, giving a reason for your answer.[1 mark]
  3. 11(b)(i)Express XZ in terms of a and b.[1 mark]
  4. 11(b)(ii)Express MY in terms of a and b.[3 marks]
  5. 11(c)(ii)Show that A⁻¹A = I, the identity matrix.[2 marks]
  6. 11(c)(iii)Determine the matrix A².[2 marks]
  7. 11(c)(iv)a)Explain why the matrix product AB is NOT possible.[1 mark]
  8. 11(c)(iv)b)Without calculating, state the order of the matrix product BA.[1 mark]

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