SPS SPS FM 2023 February — Question 1

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2023
SessionFebruary
TopicMatrices

1. Matrices \(\mathbf { A }\) and \(\mathbf { B }\) are given by \(\mathbf { A } = \left( \begin{array} { r r } - 1 & 0
0 & 1 \end{array} \right)\) and \(\mathbf { B } = \left( \begin{array} { c c } \frac { 5 } { 13 } & - \frac { 12 } { 13 }
\frac { 12 } { 13 } & \frac { 5 } { 13 } \end{array} \right)\).
Use A and B to disprove the proposition: "Matrix multiplication is commutative".