Quelpr
4 marksMatrices and Systems of Linear Equations

CAPE Pure Mathematics Unit 2 · May/June 2026 · Paper 2 · Question 6(a)

This section covers matrices and differential equations. A matrix is given by [[1, 5], [-2k, k+1]].

Calculate the value of k for which the matrix is singular.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 6(b)(i)Solve the differential equation to obtain the general solution.[8 marks]
  2. 6(b)(ii)Hence, given that y = 1 when x = 0, determine the particular solution.[2 marks]
  3. 6(c)(i)Obtain the complementary function of the differential equation.[5 marks]
  4. 6(c)(ii)Determine a particular integral of the differential equation.[5 marks]
  5. 6(c)(iii)Hence, state the general solution of the differential equation.[1 mark]

More practice: the rest of this paper · more Matrices and Systems of Linear Equations questions · all CAPE Pure Mathematics Unit 2 past papers