AQA
Further AS Paper 1
2020
June
— Question 16
4 marks
Exam Board
AQA
Module
Further AS Paper 1 (Further AS Paper 1)
Year
2020
Session
June
Marks
4
Topic
Matrices
16
Write down the product \(\mathbf { A A } ^ { - 1 }\) as a single matrix. [0pt]
[1 mark]
16
\(\quad \mathbf { M }\) is a matrix such that \(\mathbf { M } = \mathbf { A B }\).
Prove that \(\mathbf { M } ^ { - 1 } = \mathbf { B } ^ { - 1 } \mathbf { A } ^ { - 1 }\) [0pt]
[3 marks]
The polar equation of the circle \(C\) is
Find, in terms of \(a\), the radius of \(C\).
Fully justify your answer.