AQA Further Paper 2 Specimen — Question 3 3 marks

Exam BoardAQA
ModuleFurther Paper 2 (Further Paper 2)
SessionSpecimen
Marks3
TopicInvariant lines and eigenvalues and vectors

3 The transformation T is defined by the matrix \(\mathbf { M }\). The transformation S is defined by the matrix \(\mathbf { M } ^ { - 1 }\). Given that the point \(( x , y )\) is invariant under transformation T , prove that \(( x , y )\) is also an invariant point under transformation S .
[0pt] [3 marks]