Moderate -0.8 This question tests two standard FP1 matrix procedures: finding a 2×2 matrix inverse using the formula and applying the determinant-area scaling property. Both are routine recall with straightforward calculation—the determinant is 8, making the inverse simple to compute, and the area transformation is a direct application of |det(M)| = 8. No problem-solving or insight required beyond remembering formulas.
1 You are given the matrix \(\mathbf { M } = \left( \begin{array} { r r } 2 & 3 \\ - 2 & 1 \end{array} \right)\).
Find the inverse of \(\mathbf { M }\).
The transformation associated with \(\mathbf { M }\) is applied to a figure of area 2 square units. What is the area of the transformed figure?
1 You are given the matrix $\mathbf { M } = \left( \begin{array} { r r } 2 & 3 \\ - 2 & 1 \end{array} \right)$.\\
Find the inverse of $\mathbf { M }$.\\
The transformation associated with $\mathbf { M }$ is applied to a figure of area 2 square units. What is the area of the transformed figure?
\hfill \mbox{\textit{OCR MEI FP1 2005 Q1 [3]}}