OCR MEI
Further Pure Core
2020
November
— Question 2
Exam Board
OCR MEI
Module
Further Pure Core (Further Pure Core)
Year
2020
Session
November
Topic
Matrices
2
The matrices \(\mathbf { M } = \left( \begin{array} { c c c } 0 & 1 & a 1 & b & 0 \end{array} \right)\) and \(\mathbf { N } = \left( \begin{array} { c c } b & - 5 - 1 & c - 1 & 1 \end{array} \right)\) are such that \(\mathbf { M } \mathbf { N } = \mathbf { I }\).
Find \(a , b\) and \(c\).
State with a reason whether or not \(\mathbf { N }\) is the inverse of \(\mathbf { M }\).