Moderate -0.5 This is a straightforward recall question about basic properties of matrix multiplication. Students need only remember that matrix multiplication is associative but not commutative—a fundamental fact taught early in Further Maths. No calculation or problem-solving is required, making it easier than average but not trivial since it tests understanding of group-like structures.
2 Which of the following statements is true about the operation of matrix multiplication on the set of all \(2 \times 2\) real matrices?
Tick ( \(\checkmark\) ) one box.
Matrix multiplication is associative and commutative.
\includegraphics[max width=\textwidth, alt={}, center]{c297a67f-65fd-47e0-a60c-d38fd86c6081-03_109_112_552_1599}
Matrix multiplication is associative but not commutative. □
Matrix multiplication is commutative but not associative. □
Matrix multiplication is not commutative and not associative. □
2 Which of the following statements is true about the operation of matrix multiplication on the set of all $2 \times 2$ real matrices?
Tick ( $\checkmark$ ) one box.
Matrix multiplication is associative and commutative.\\
\includegraphics[max width=\textwidth, alt={}, center]{c297a67f-65fd-47e0-a60c-d38fd86c6081-03_109_112_552_1599}
Matrix multiplication is associative but not commutative. □
Matrix multiplication is commutative but not associative. □
Matrix multiplication is not commutative and not associative. □
\hfill \mbox{\textit{AQA Further Paper 3 Discrete 2020 Q2 [1]}}