5 marksMatrices and Systems of Linear Equations

CAPE Pure Mathematics Unit 2 · May/June 2026 · Paper 2 · Question 5(e)

A system of linear equations is given as x + z = 1, y + z = 2, 2y + z = 1.

Determine whether the system is consistent.

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Other parts of this question

5(a)(i)Determine the sample space of the possible outcomes of the experiment.[2 marks]
5(a)(ii)Calculate P(H|F).[2 marks]
5(a)(iii)State, with reason, whether H and F are independent events.[3 marks]
5(b)(i)Calculate the number of ways of arranging 3 letters from the first 6 letters of the alphabet.[2 marks]
5(b)(ii)Calculate the number of ways of arranging ALL the letters of the word SUCCESS.[3 marks]
5(c)Determine in how many ways a sub-committee may be formed if 2 Mathematics teachers and 3 English teachers are selected in no particular order.[4 marks]
5(d)Evaluate the determinant of A.[4 marks]

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