Question

construir uma matriz;

a(aij)5x1,tal que aij=2i-5j?

Answer 1

Mano,

a matriz A(aij)5x1, ou seja, 5 linhas e 1 coluna, possui uma matriz genérica dada por,

$A= \left(\begin{array}{cccc}a_{11}\\a_{21}\\ a_{31}\\a_{41}\\a_{51}\\\end{array}\right)~~~~~~~~~~~~~.$

e segue à lei de construção aij=2i-5j:

$A= \left(\begin{array}{ccc}2\cdot1-5\cdot1\\2\cdot2-5\cdot1 \\ 2\cdot3-5\cdot1\\2\cdot4-5\cdot1 \\ 2\cdot5-5\cdot1\\ \end{array}\right) ~~~.\\\\\\ A= \left(\begin{array}{ccc}2-5\\ 4-5\\ 6-5\\ 8-5\\ 10-5\\ \end{array}\right)\\\\\\ \large\boxed{\boxed{\boxed{A= \left(\begin{array}{ccc}-3\\ -1\\~~1\\~~3\\~~5\\ \end{array}\right)}}}.\\.$

Tenha ótimos estudos =))