Question

Dadas a matriz A= (aij)2x2 tal que aij =i² +j² DETERMINE A^t

Answer 1

Nary,
Vamos construir a matriz e logo determinar sua transposta

                   $A= \left[\begin{array}{ccc}a11&&a12\\&&\\a21&&a22\end{array}\right] \\ \\ \\ A= \left[\begin{array}{ccc}1^2+1^2&&1^2+2^2\\&&\\2^2+1^1&&2^2+2^2 \end{array}\right] \\ \\ \\ A= \left[\begin{array}{ccc}2&&5\\&&\\5&&8\end{array}\right] \\ \\ \\ A^t= \left[\begin{array}{ccc}2&&5\\&&\\5&&8\end{array}\right]$