June 2023 Paper 2 Q3
3
\[\begin{pmatrix} 3 & 5 \\ u & 2 \end{pmatrix}\begin{pmatrix} 1 \\ 4 \end{pmatrix} = \begin{pmatrix} t \\ 6 \end{pmatrix}\]Work out the values of \(t\) and \(u\). [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| (\(t =\)) \(3 \times 1 + 5 \times 4\) or (\(t =\)) 23 or \(u \times 1 + 2 \times 4\) or \(u + 8\) or \(u = -2\) | M1 | oe may be seen in a matrix or an equation eg \(\begin{pmatrix} 23 \\ \ldots \end{pmatrix}\) or \(u + 8 = 6\) |
| \(t = 23\) and \(u = -2\) | A1 | SC1 \(t = -2\) and \(u = 23\) |
Additional guidance
| Condone both answers unambiguously seen in working but transposed on answer line | M1A1 |