Question

Escreva matriz A=(ay)3×4 na qual ay=3i+2j

Answer 1

Matriz genérica 3×4

$\large~ \mathsf{A}=\begin{vmatrix}a_{11}&a_{12}&a_{13}&a_{14}\\a_{21}&a_{22}&a_{23}&a_{24}\\a_{31}&a_{32}&a_{33}&a_{34}\end{vmatrix}$

$\mathsf{a_{11}=3.1+2.1=5}\\\mathsf{a_{12}=3.1+2.2=7}\\\mathsf{a_{13}=3.1+2.3=9}\\\mathsf{a_{14}=3.1+2.4=11}$

$\mathsf{a_{21}=3.2+2.1=8}\\\mathsf{a_{22}=3.2+2.2=10}\\\mathsf{a_{23}=3.2+2.3=12}\\\mathsf{a_{24}=3.2+2.4=14}$

$\mathsf{a_{31}=3.3+2.1=11}\\\mathsf{a_{32}=3.3+2.2=13}\\\mathsf{a_{33}=3.3+2.3=15}\\\mathsf{a_{34}=3.3+2.4=17}$

A matriz pedida é

$\large~ \mathsf{A}=\begin{vmatrix}5&7&9&11\\8&10&12&14\\11&13&15&17\end{vmatrix}$