Question

Sendo A = [1 1 /0 1]. calcule A², A³, A¹ e An (n =

Nen≥ 1).
me ajudem por favorrr​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\textsf{A = }\left[\begin{array}{cc}1&1\\0&1\end{array}\right]$

$\mathsf{A^2 = }\left[\begin{array}{cc}1&1\\0&1\end{array}\right]\:.\:\left[\begin{array}{cc}1&1\\0&1\end{array}\right] = \left[\begin{array}{cc}1&2\\0&1\end{array}\right]$

$\mathsf{A^3 = }\left[\begin{array}{cc}1&2\\0&1\end{array}\right]\:.\:\left[\begin{array}{cc}1&1\\0&1\end{array}\right] = \left[\begin{array}{cc}1&3\\0&1\end{array}\right]$

$\mathsf{A^4 = }\left[\begin{array}{cc}1&3\\0&1\end{array}\right]\:.\:\left[\begin{array}{cc}1&1\\0&1\end{array}\right] = \left[\begin{array}{cc}1&4\\0&1\end{array}\right]$

$\textsf{A^n = }\left[\begin{array}{cc}1&n\\0&1\end{array}\right]$$\mathsf{A^n = }\left[\begin{array}{cc}1&\textsf{n}\\0&1\end{array}\right]$