Question

12. Determinaţi matricea 13 Se consideră 1 -1) 1, -1) la puterea 2017​

Answer 1

Explicație pas cu pas:

${\left(\begin{array}{ccc}1&-1\\1&-1\end{array}\right)}^{2} = \left(\begin{array}{ccc}1&-1\\1&-1\end{array}\right)\left(\begin{array}{ccc}1&-1\\1&-1\end{array}\right)= \\ = \left(\begin{array}{ccc}0&0\\0&0\end{array}\right) = O_{2}$

${\left(\begin{array}{ccc}1&-1\\1&-1\end{array}\right)}^{2017} = O_{2}$