CAPE Pure Mathematics Unit 2 · May/June 2008 (T&T) · Paper 2 · Question 6(a)
Solve for x the equation \begin{vmatrix} 1 & 1 & 1 \\ x & 2 & 1 \\ x^3 & 8 & 1 \end{vmatrix} = 0.
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- 6(b)(i)Express the information above as a matrix equation
AX = Y, whereAis a3 \times 3matrix, andXandYare3 \times 1matrices with…[3 marks] - 6(b)(ii)a)Calculate
AB.[3 marks] - 6(b)(ii)b)Deduce the inverse
A^{-1}ofA.[3 marks] - 6(b)(iii)Hence, or otherwise, determine the number of cars and buses used in the
34\text{ km}tours.[4 marks]
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