Exercise 2.4.5

Answers

(a)

A^{2} = [\begin{matrix} 1 & 2 b \\ 0 & 1 \end{matrix}]

and

A^{n} = [\begin{matrix} 1 & nb \\ 0 & 1 \end{matrix}] .

(b)

A^{2} = [\begin{matrix} 4 & 4 \\ 0 & 0 \end{matrix}]

and

A^{n} = [\begin{matrix} 2^{n} & 2^{n} \\ 0 & 0 \end{matrix}] .

mathchakra

2021-12-06 17:25