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Matrices
Q3
Edexcel F1 2022 June — Question 3
Exam Board
Edexcel
Module
F1 (Further Pure Mathematics 1)
Year
2022
Session
June
Topic
Matrices
\(\mathbf { M } = \left( \begin{array} { c c } k & k
3 & 5 \end{array} \right) \quad\) where \(k\) is a non-zero constant
Determine \(\mathbf { M } ^ { - 1 }\), giving your answer in simplest form in terms of \(k\).
Hence, given that \(\mathbf { N } ^ { - 1 } = \left( \begin{array} { c c } k & k
4 & - 1 \end{array} \right)\)
determine \(( \mathbf { M N } ) ^ { - 1 }\), giving your answer in simplest form in terms of \(k\).
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