Question

Sejam A= 1  0  é uma matriz quadrada de ordem 2.

                   0  1         .Determine 

(A+A-1)2

 

 

Answer 1

$<var>A=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]\\\\\\ A - 1 = \left[\begin{array}{ccc}0&-1\\-1&0\end{array}\right]\\\\\\ A + (A - 1) = \left[\begin{array}{ccc}1&-1\\-1&1\end{array}\right]\\\\\\ 2[A + (A - 1)] = \left[\begin{array}{ccc}2&-2\\-2&2\end{array}\right]\\\\\\ </var>$