Question

Questão 10) Escreva a matriz A = ( a i j ) 1x3 , tal que 3 i - 2 j .

Answer 1

Explicação passo-a-passo:

$\sf A=\Big(\begin{array}{ccc} \sf a_{11} & \sf a_{12} & \sf a_{13} \end{array}\Big)$

• $\sf a_{ij}=3i-2j$

$\sf a_{11}=3\cdot1-2\cdot1$

$\sf a_{11}=3-2$

$\sf \red{a_{11}=1}$

• $\sf a_{ij}=3i-2j$

$\sf a_{12}=3\cdot1-2\cdot2$

$\sf a_{12}=3-4$

$\sf \red{a_{12}=-1}$

• $\sf a_{ij}=3i-2j$

$\sf a_{13}=3\cdot1-2\cdot3$

$\sf a_{13}=3-6$

$\sf \red{a_{13}=-3}$

Assim:

$\sf A=\Big(\begin{array}{ccc} \sf a_{11} & \sf a_{12} & \sf a_{13} \end{array}\Big)$

$\sf A=\Big(\begin{array}{ccc} \sf 1 & \sf -1 & \sf -3 \end{array}\Big)$