let-A-1-0-0-0-2-9-0-1-4-1-calculate-A-I-3-2-conclude-A-n-for-n-integr-

Question Number 50386 by Abdo msup. last updated on 16/Dec/18

l e t A = (\begin{matrix} 1 0 0 \\ 0 - 2 - 9 \end{matrix})

(0 1 4)

1) c a l c u l a t e {(A - I)}^{3}

2) c o n c l u d e A^{n} f o r n i n t e g r .

Answered by kaivan.ahmadi last updated on 16/Dec/18

A - I = (\begin{matrix} 0 0 0 \\ 0 - 3 - 9 \end{matrix})

(0 1 3)

{(A - I)}^{2} = (\begin{matrix} 0 0 0 \\ 0 0 0 \end{matrix})

(0 0 0)

\Rightarrow {(A - I)}^{3} = 0