let-A-1-1-n-1-n-1-1-calculate-A-2-2-calculate-A-m-m-integr-natural-3-coclude-A-n-and-lim-n-A-n-4-calculate-e-A-and-e-A-

Question Number 113549 by mathmax by abdo last updated on 13/Sep/20

let A = (\begin{matrix} 1 - \frac{1}{n} \\ \frac{1}{n} 1 \end{matrix})

1) calculate A^{2}

2) calculate A^{m} (m integr natural)

3) coclude A^{n} and \lim_{n \to + \infty} A^{n}

4) calculate e^{A} and e^{- A}