Question

1- Construa uma matriz A de ordem 4 x 3 formada por elementos do tipo. AJUDA AI

Answer 1

Explicação passo-a-passo:

$A=\left(\begin{array}{ccc} a_{11}&a_{12}&a_{13} \\ a_{21}&a_{22}&a_{23} \\ a_{31}&a_{32}&a_{33} \\ a_{41}&a_{42}&a_{43} \end{array} \right)$

$\bullet~a_{11}=3\cdot1^2-1~\rightarrow~a_{11}=3-1~\rightarrow~a_{11}=2$

$\bullet~a_{12}=3\cdot1^2-2~\rightarrow~a_{12}=3-2~\rightarrow~a_{12}=1$

$\bullet~a_{13}=3\cdot1^2-3~\rightarrow~a_{13}=3-3~\rightarrow~a_{13}=0$

$\bullet~a_{21}=3\cdot2^2-1~\rightarrow~a_{21}=12-1~\rightarrow~a_{21}=11$

$\bullet~a_{22}=3\cdot2^2-2~\rightarrow~a_{22}=12-2~\rightarrow~a_{22}=10$

$\bullet~a_{23}=3\cdot2^2-3~\rightarrow~a_{23}=12-3~\rightarrow~a_{23}=9$

$\bullet~a_{31}=3\cdot3^2-1~\rightarrow~a_{31}=27-1~\rightarrow~a_{31}=26$

$\bullet~a_{32}=3\cdot3^2-2~\rightarrow~a_{32}=27-2~\rightarrow~a_{32}=25$

$\bullet~a_{33}=3\cdot3^2-3~\rightarrow~a_{33}=27-3~\rightarrow~a_{33}=24$

$\bullet~a_{41}=3\cdot4^2-1~\rightarrow~a_{41}=48-1~\rightarrow~a_{41}=47$

$\bullet~a_{42}=3\cdot4^2-1~\rightarrow~a_{42}=48-2~\rightarrow~a_{42}=46$

$\bullet~a_{43}=3\cdot4^2-3~\rightarrow~a_{43}=48-3~\rightarrow~a_{43}=45$

Logo:

$A=\left(\begin{array}{ccc} 2&1&0 \\ 11&10&9 \\ 26&25&24 \\ 47&46&45 \end{array} \right)$