AS June 2023 Paper 1 Q3

3 The matrices \(\mathbf{A}\) and \(\mathbf{B}\) are given by

\[\mathbf{A} = \begin{bmatrix} 3 & 1 \\ 0 & 5 \end{bmatrix} \qquad \mathbf{B} = \begin{bmatrix} 0 & 4 \\ 7 & 1 \end{bmatrix}\]

Calculate \(\mathbf{AB}\)

Circle your answer. [1 mark]

• \(\begin{bmatrix} 3 & 5 \\ 7 & 6 \end{bmatrix}\)
• \(\begin{bmatrix} 0 & 20 \\ 21 & 12 \end{bmatrix}\)
• \(\begin{bmatrix} 0 & 4 \\ 0 & 5 \end{bmatrix}\)
• \(\begin{bmatrix} 7 & 13 \\ 35 & 5 \end{bmatrix}\)