Question

Obter a matriz 2x3 tal que $\left \{ {{aij=2i-j, se i \neq j } \atop {aij = i+j, se i = j}} \right.$

Answer 1

Resposta:

a₁₁==1+1=2

a₁₂=2-2=0

a₁₃=2-3=-1

a21=2*2-1=3

a₂₂=2+2=4

a₂₃=4-3=1

2     0      -1

3     4      1

Answer 2

Boa noite!

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Matriz;

$\begin{bmatrix}a11&a12&a13\\a21&a22&a23\\\end{bmatrix}$

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$\mathrm{a11}\Rightarrow\mathrm{i+j}\Rightarrow\mathrm{1+1}=\boxed{2}$

$\mathrm{a12}\Rightarrow\mathrm{2i-j}\Rightarrow\mathrm{2\times1-2}\Rightarrow\mathrm{2-2}=\boxed{0}$

$\mathrm{a13}\Rightarrow\mathrm{2i-j}\Rightarrow\mathrm{2\times1-3}\Rightarrow\mathrm{2-3}=\boxed{-1}$

$\mathrm{a21}\Rightarrow\mathrm{2i-j}\Rightarrow\mathrm{2\times2-1}\Rightarrow\mathrm{4-1}=\boxed{3}$

$\mathrm{a22}\Rightarrow\mathrm{i+j}\Rightarrow\mathrm{2+2}=\boxed{4}$

$\mathrm{a23}\Rightarrow\mathrm{2i-j}\Rightarrow\mathrm{2\times2-3}\Rightarrow\mathrm{4-3}=\boxed{1}$

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Matriz Resposta:

$\begin{bmatrix}2&0&-1\\3&4&1\\\end{bmatrix}$

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Att;Guilherme Lima