Question

Escreva a matriz A3x3 cujos elementos
aij são definidos por:

aij= { i+j se i < j
0 se i = j
i elevado a j se i > j

Answer 1

Olá, Caputigarcia.

$a_{11}=0,\text{pois }i=j\\a_{12}=1+2=3,\text{pois }i\ \textless \ j\\a_{13}=1+3=4,\text{pois }i\ \textless \ j\\ a_{21}=2^1=2,\text{pois }i\ \textgreater \ j\\a_{22}=0,\text{pois }i=j\\a_{23}=2+3=5,\text{pois }i\ \textless \ j\\ a_{31}=3^1=3,\text{pois }i\ \textgreater \ j\\a_{32}=3^2=9,\text{pois }i\ \textgreater \ j\\a_{33}=0,\text{pois }i=j \\\\ \therefore\boxed{A= \left[\begin{array}{ccc}0&3&4\\2&0&5\\3&9&0\end{array}\right] }$