CAPE Pure Mathematics Unit 2 · May/June 2010 · Paper 2 · Question 6(b)(i)a)
Given A = \begin{pmatrix} 0 & -1 & 1 \\ -1 & 0 & 1 \\ 1 & 1 & 1 \end{pmatrix}.
Find A^2.
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Practise this questionOther parts of this question
- 6(a)(i)Write the augmented matrix of the system.[2 marks]
- 6(a)(ii)Reduce the augmented matrix to echelon form.[3 marks]
- 6(a)(iii)Deduce the value of
kfor which the system is consistent.[2 marks] - 6(a)(iv)Find ALL solutions corresponding to the value of
kobtained in (iii) above.[4 marks] - 6(b)(i)b)Find
B = 3I + A - A^2.[4 marks] - 6(b)(ii)Calculate
AB.[4 marks] - 6(b)(iii)Deduce the inverse,
A^{-1}, of the matrixA.[2 marks]
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