Question

construa a matriz m= (mij) 3x3 Tal que mij = 2,se i=j 2,-j se i>j -1 se i <j
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Answer 1

Resposta:

Queremos a matriz $M = m_{ij} (3x3)$ tal que:

$m_{ij} = \begin{cases}2 \ \ \ \ \ se \ i= j \\-j \ \ \ se\ i>j\\-1 \ \ \ se \ i<j\end{cases}$

Então temos que:

$M = \left[\begin{array}{ccc}m_{11}&m_{12}&m_{13}\\m_{21}&m_{22}&m_{23}\\m_{31}&m_{32}&m_{33}\end{array}\right] = \left[\begin{array}{ccc}2&-1&-1\\-1&2&-1\\-1&-2&2\end{array}\right]$