OCR MEI FP1 2007 June — Question 1

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2007
SessionJune
TopicMatrices

1 You are given the matrix \(\mathbf { M } = \left( \begin{array} { r r } 2 & - 1
4 & 3 \end{array} \right)\).
  1. Find the inverse of \(\mathbf { M }\).
  2. A triangle of area 2 square units undergoes the transformation represented by the matrix \(\mathbf { M }\). Find the area of the image of the triangle following this transformation.