Question

a matriz transposta da matriz quadrada a=(aij) de ordem 2 com aij = ij+2

Answer 1

$\left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\\\\left[\begin{array}{ccc}1\times1+2&1\times2+2\\2\times1+2&2\times2+1\end{array}\right] \\\\\\\left[\begin{array}{ccc}3&4\\4&5\end{array}\right]$

Agora para achar a transposta, basta troca linha por coluna:

$\left[\begin{array}{ccc}3&4\\4&5\end{array}\right]^{t}\\\\\\\left[\begin{array}{ccc}3&4\\4&5\end{array}\right]$

Ou seja, a transposta é igual a matriz original.