Question

construa a Matriz A = (aij) 2×2 cujo aij= 3i+2j e a Matriz B= (bij) 2×2, dado por bij=i+j.

Answer 1

Resposta:

$A=\left[\begin{array}{ccc}a11&a12&\\a21&a22&\\&&\end{array}\right]$

aij = 3i + 2j

a₁₁ = 3.1 + 2.1                 a₁₂ = 3.1 + 2.2

a₁₁ = 3 + 2                     a₁₂ = 3 + 4

a₁₁ = 5                           a₁₂ = 7

a₂₁ = 3.2 + 2.1             a₂₂ = 3.2 + 2.2

a₂₁ = 6 + 2                  a₂₂ = 6 + 4

a₂₁ = 8                        a₂₂ = 10

$A=\left[\begin{array}{ccc}5&7&\\8&10&\\\end{array}\right]$

$B=\left[\begin{array}{ccc}a11&a12&\\a21&a22&\\\end{array}\right]$

ij = i + j

a₁₁ = 1 + 1              a₁₂ = 1 + 2

a₁₁ = 2                  a₁₂ = 3

a₂₁ = 2 + 1             a₂₂ = 2 + 2

a₂₁ = 3                  a₂₂ = 4

$B=\left[\begin{array}{ccc}2&3&\\3&4&\end{array}\right]$

bons estudos!