Question

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

Answer 1

$A= \left[\begin{array}{ccc}a_{11}&a_{12}}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\end{array}\right] \\ \\ \\ A= \left[\begin{array}{ccc}{1-1}&a1-2}}&{1-3}\\{2-1}&{2-2}&{2-3}\\{3-1}&{3-2}&{3-3}\end{array}\right] \\ \\ \\ A= \left[\begin{array}{ccc}0&-1&-2\\1&0&-1\\2&1&0\end{array}\right]$