3 marksInverse of a 2x2 Matrix
CSEC Mathematics · January 2014 · Paper 2 · Question 11(a)(i)
The matrix, T, is such that T = [[2, -1], [1, 3]].
Determine, T⁻¹, the inverse of T.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 11(a)(ii)The matrix T maps the point (a, b) onto the point (4, 9). Determine the values of a and b.[4 marks]
- 11(b)(i)Draw a sketch of the triangle OMN and label the points O, M, N and L.[2 marks]
- 11(b)(ii)a)Write in terms of m and n an expression for MN.[3 marks]
- 11(b)(ii)b)Write in terms of m and n an expression for ML.[3 marks]
- 11(b)(iii)Determine the position vector of L.[3 marks]
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