Question

A (aij) 3x2, tal que aij=2i+4j²+2

Answer 1

Olá,

Primeiro vamos montar a matriz com os elementos

Logo usar a lei de formação aij=2i+4j²+2

a11=2×1+4×1²+2=8

a12=2×1+4×2²+2=20

a21=2×2+4×1²+2=10

a22=2×2+4×2²+2=22

a31=2×3+×1²+2=12

a32=2×3+4×2²+2=24

$\left[\begin{array}{cc}8&20&\\10&22&\\12&24&\end{array}\right]$

Answer 2

Boa Noite!

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$\begin{bmatrix}a11&a12\\a21&a22\\a31&a32\\\end{bmatrix}$

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$\mathrm{a11}\Rightarrow\mathrm{2\times1}+\mathrm{4\times1}^{2}+\mathrm{2}\Rightarrow\mathrm{2+4\times1+2}\Rightarrow\mathrm{2+4+2}=\boxed{8}$

$\mathrm{a12}\Rightarrow\mathrm{2\times1}+\mathrm{4\times2}^{2}+\mathrm{2}\Rightarrow\mathrm{2+4\times4+2}\Rightarrow\mathrm{2+16+2}=\boxed{20}$

$\mathrm{a21}\Rightarrow\mathrm{2\times2}+\mathrm{4\times1}^{2}+\mathrm{2}\Rightarrow\mathrm{4+4\times1+2}\Rightarrow\mathrm{4+4+2}=\boxed{10}$

$\mathrm{a22}\Rightarrow\mathrm{2\times2}+\mathrm{4\times2}^{2}+\mathrm{2}\Rightarrow\mathrm{4+4\times4+2}\Rightarrow\mathrm{4+16+2}=\boxed{22}$

$\mathrm{a31}\Rightarrow\mathrm{2\times3}+\mathrm{4\times1}^{2}+\mathrm{2}\Rightarrow\mathrm{6+4\times1+2}\Rightarrow\mathrm{6+4+2}=\boxed{12}$

$\mathrm{a32}\Rightarrow\mathrm{2\times3}+\mathrm{4\times2}^{2}+\mathrm{2}\Rightarrow\mathrm{6+4\times4+2}\Rightarrow\mathrm{6+16+2}=\boxed{24}$

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Matriz resposta;

$\begin{bmatrix}8&20\\10&22\\12&24\\\end{bmatrix}$

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Att;Guilherme Lima