Question

8. Construa a matriz quadrada de ondem 3, dada por c= (cij) 3x3 tal que cij= o parai= j cij= 1 Parai = j​

Answer 1

$\large\boxed{\begin{array}{l}\sf Construa\,a\,matriz\,quadrada\,de\,ordem\,3,\\\sf dada\,por\,C=(c_{ij})_{3\times3}\,tal\,que\,\begin{cases}\sf c_{ij}=0,para\,i=j\\\sf c_{ij}=1,para~i\ne j\end{cases}\end{array}}$

$\Large\boxed{\begin{array}{l}\underline{\sf Soluc_{\!\!\!,}~\!\tilde ao\!:}\\\rm c_{11}=0~c_{12}=1~c_{13}=1\\\rm c_{21}=1~c_{22}=0~c_{23}=1\\\rm c_{31}=1~c_{32}=1~c_{33}=0\\\\\rm C=\begin{bmatrix}\rm0&\rm1&\rm1\\\rm1&\rm0&\rm1\\\rm1&\rm1&\rm0\end{bmatrix}\end{array}}$