Question

determine a matriz a= (aij) 3x3 tal que aij=i - j

Answer 1

Sendo uma matriz 3x3, Então teremos 3 linhas e 3 colunas

A = $\left[\begin{array}{ccc} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right]$

$a_{11}=1-1 = 0$

$a_{12}=1-2 = -1$

$a_{13}=1-3= -2$

$a_{21}=2-1= 1$

$a_{22}=2-2= 0$

$a_{23}=2-3= -1$

$a_{31}=3-1= 2$

$a_{32}=3-2= 1$

$a_{33}=3-3= 0$

A = $\left[\begin{array}{ccc}0&-1&-2\\1&0&-1\\2&1&0\end{array}\right]$