| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2022 |
| Session | January |
| Marks | 4 |
| Topic | Matrices |
| Type | Matrix arithmetic operations |
| Difficulty | Easy -1.3 This is a straightforward two-part question testing basic matrix operations: scalar multiplication and subtraction (part i), and finding the inverse of a 2×2 matrix using the standard formula (part ii). Both are routine recall exercises requiring no problem-solving or insight, making this easier than average for A-level Further Maths. |
| Spec | 4.03b Matrix operations: addition, multiplication, scalar4.03n Inverse 2x2 matrix |
1.
The matrix $\mathbf { A }$ is given by $\mathbf { A } = \left( \begin{array} { l l } 4 & 1 \\ 5 & 2 \end{array} \right)$ and $\mathbf { I }$ is the $2 \times 2$ identity matrix. Find\\
(i) $\mathbf { A } - 3 \mathbf { I }$,\\
(ii) $\mathbf { A } ^ { - 1 }$.\\[0pt]
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\hfill \mbox{\textit{SPS SPS FM 2022 Q1 [4]}}