June 2025 Paper 1 Q2
2
\[\begin{pmatrix} 5 & 0 \\ 1 & -6 \end{pmatrix}\begin{pmatrix} 12 \\ 7 \end{pmatrix} = 15\begin{pmatrix} a \\ b \end{pmatrix}\]Work out the values of \(a\) and \(b\). [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((a =)\ 4\) and \((b =)\ -2\) | B2 | B1 \((a =)\ 4\) or \((b =)\ -2\) |
Additional guidance
| Condone \(\begin{pmatrix} 4 \\ -2 \end{pmatrix}\) or \(15\begin{pmatrix} 4 \\ -2 \end{pmatrix}\) in working if nothing on answer line | B2 |
| Condone \(\begin{pmatrix} 4 \\ k \end{pmatrix}\) or \(15\begin{pmatrix} 4 \\ k \end{pmatrix}\) or \(\begin{pmatrix} m \\ -2 \end{pmatrix}\) or \(15\begin{pmatrix} m \\ -2 \end{pmatrix}\) in working if nothing on answer line where \(k\) and \(m\) can be any number | B1 |