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CAPE Pure Mathematics Unit 2 · May/June 2018 · Paper 1 · Question Q39

\mathbf{A}, \mathbf{B}, \mathbf{C} and \mathbf{D} are four 3 \times 3 matrices. Given that \mathbf{AB} = \mathbf{J}, \mathbf{BC} = \mathbf{K}, \mathbf{CD} = \mathbf{L}, \mathbf{ABC} = \mathbf{P} and \mathbf{BCD} = \mathbf{Q}, where \mathbf{J}, \mathbf{K}, \mathbf{L}, \mathbf{P} and \mathbf{Q} are matrices, the product of \mathbf{ABCD} is

  1. (A)\mathbf{JQ}
  2. (B)\mathbf{JKL}
  3. (C)\mathbf{LJ}
  4. (D)\mathbf{PD}

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