Quelpr
1 markPaper 1 · Multiple choiceMatrices and Systems of Linear Equations

CAPE Pure Mathematics Unit 2 · May/June 2018 · Paper 1 · Question Q45

The matrix \mathbf{A} represents a system of linear equations after some elementary row operations have been performed. \mathbf{A} = \begin{pmatrix} 1 & 0 & 1 & : & 3 \\ 0 & 1 & -1 & : & 2 \\ 0 & 0 & 0 & : & 2 \end{pmatrix} Which of the following statements is TRUE?

  1. (A)The solution is unique.
  2. (B)There is no solution.
  3. (C)There are infinitely many solutions.
  4. (D)The solutions are dependent.

The answer is shown once you've answered.

Practise this question

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