Question 1 - A-Level Maths

Edexcel FP2 AS Specimen — Question 1

Exam Board	Edexcel
Module	FP2 AS (Further Pure 2 AS)
Session	Specimen
Topic	Invariant lines and eigenvalues and vectors

Given that

$$A = \left( \begin{array} { l l } 3 & 1
6 & 4 \end{array} \right)$$

find the characteristic equation of the matrix \(\mathbf { A }\).
Hence show that \(\mathbf { A } ^ { 3 } = 43 \mathbf { A } - 42 \mathbf { I }\).

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