Question

Construa a matriz A (aij) 2x3, aij = 3i+2j

Answer 1

Oi,

a matriz genérica de 2 linhas e 3 colunas é dada por..

$A_{ij}_{2x3}= \left(\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\\end{array}\right)$

Se a sua lei de formação é dada por aij=3i+2j, aí fazemos..

$\text{A}= \left(\begin{array}{ccc}3\cdot1+2\cdot1&3\cdot1+2\cdot2&3\cdot1+2\cdot3\\3\cdot2+2\cdot1&3\cdot2+2\cdot2&3\cdot2+2\cdot3\\\end{array}\right)\\\\ \text{A}= \left(\begin{array}{ccc}3+2&3+4&3+6\\6+2&6+4&6+6\\\end{array}\right)\\\\\\ \Large\text{A}= \left(\begin{array}{ccc}5&7&9\\8&10&12\\\end{array}\right)$