OCR MEI
Further Pure Core AS
2020
November
— Question 8
Exam Board
OCR MEI
Module
Further Pure Core AS (Further Pure Core AS)
Year
2020
Session
November
Topic
Linear transformations
8
The matrix \(\mathbf { M }\) is \(\left( \begin{array} { r r } 0 & - 1 - 1 & 0 \end{array} \right)\).
Find \(\mathbf { M } ^ { 2 }\).
Write down the transformation represented by \(\mathbf { M }\).
Hence state the geometrical significance of the result of part (i).
The matrix \(\mathbf { N }\) is \(\left( \begin{array} { c c } k + 1 & 0 k & k + 2 \end{array} \right)\), where \(k\) is a constant.
Using determinants, investigate whether \(\mathbf { N }\) can represent a reflection.