CSEC Mathematics · Question 11(c)(ii)
The matrices A and B are given as A = ((-1, 0), (3, 2)) and B = ((-3, 2, 1), (1, 4, 6)).
Show that A⁻¹A = I, the identity matrix.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 11(a)(i)Determine the vector OQ.[2 marks]
- 11(a)(ii)Show that OQ is parallel to RS, giving a reason for your answer.[1 mark]
- 11(b)(i)Express XZ in terms of a and b.[1 mark]
- 11(b)(ii)Express MY in terms of a and b.[3 marks]
- 11(c)(i)Determine A⁻¹, the inverse of A.[2 marks]
- 11(c)(iii)Determine the matrix A².[2 marks]
- 11(c)(iv)a)Explain why the matrix product AB is NOT possible.[1 mark]
- 11(c)(iv)b)Without calculating, state the order of the matrix product BA.[1 mark]
More practice: the rest of this paper · more Multiplicative Inverse of a Non-Singular Square Matrix questions · all CSEC Mathematics past papers