Easy -1.2 This is a direct application of the standard result that det(A^{-1}) = 1/det(A), requiring only recall of a single formula with no calculation beyond finding the reciprocal of 2. It's a multiple-choice question testing basic knowledge of determinant properties, making it significantly easier than average A-level questions.
3 The matrix \(\mathbf { A }\) is such that \(\operatorname { det } ( \mathbf { A } ) = 2\)
Determine the value of \(\operatorname { det } \left( \mathbf { A } ^ { - 1 } \right)\)
Circle your answer.
-2
\(- \frac { 1 } { 2 }\)
\(\frac { 1 } { 2 }\)
2
3 The matrix $\mathbf { A }$ is such that $\operatorname { det } ( \mathbf { A } ) = 2$
Determine the value of $\operatorname { det } \left( \mathbf { A } ^ { - 1 } \right)$\\
Circle your answer.\\
-2\\
$- \frac { 1 } { 2 }$\\
$\frac { 1 } { 2 }$\\
2
\hfill \mbox{\textit{AQA Further AS Paper 1 2024 Q3 [1]}}