Specimen 2020 Paper 2 Q6
6 \(\mathbf{A} = \begin{pmatrix} 4 & -1 \\ -7 & 2 \end{pmatrix} \qquad \mathbf{B} = \begin{pmatrix} s \\ -5 \end{pmatrix} \qquad \mathbf{C} = \begin{pmatrix} -1 \\ t \end{pmatrix} \qquad \mathbf{D} = \begin{pmatrix} 2 & 1 \\ 7 & u \end{pmatrix}\)
\(s\), \(t\) and \(u\) are constants.
(a) \(\mathbf{AB} = \mathbf{C}\)
Work out the values of \(s\) and \(t\). [3 marks]
(b) \(\mathbf{AD} = \mathbf{I}\)
Work out the value of \(u\). [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(4s + 5 = -1\) or \(-7s - 10 = t\) | M1 | oe equation |
| \(s = -1.5\) | A1 | |
| \(t = 0.5\) | A1ft | ft \(-7 \times\) their \(s - 10\) |
| Answer | Mark | Comments |
|---|---|---|
| 4 | A1 |