Question

Construa matriz a:(aij)2x3
tal que aij:ji se i:j
aij:3i-j2 se i>j
aij:ij+1 se i<j

Answer 1

$\left[\begin{array}{ccc} a_{11}a_{12}a_{13}\\a_{21}a_{22}a_{23}\\\end{array}\right]$

Sendo:
$a_{ij} =$   i.j se i = j

$a_{ij} =$   3.i - $j^{2}$   se i > j

$a_{ij} =$   i.j + 1, se i < j




$a_{11} = 1.1 = 1$
$a_{12} = 1.1 + 1 = 1 + 1 = 2$
$a_{13} = 1.3 + 1 = 3 + 1 = 4$
$a_{21} = 3.2- 1^{2} = 6 - 1 = 5$
$a_{22} = 2.2 = 4$
$a_{23} = 2.3 + 1 = 6 + 1 = 7$

Logo, a solução:
$\left[\begin{array}{ccc}1&2&4\\5&4&7\\\end{array}\right]$