Question

10. Construa a matriz A = [aij) 2x2 , tal que aij = 31 - j e B = (bij 2x2 , tal que bij =
2i - j e determine A+ B.

Me ajudem por favor!!!​

Answer 1

Vamos lá :

$\left[\begin{array}{ccc}a_{11} &a_{12} \\a_{21} &a_{22} \\\end{array}\right]$

a₁₁ = 3.1 - 1 = 3 - 1 = 2

a₁₂ = 3.1 - 2 = 3 - 2 = 1

a₂₁ = 3.2 - 1 = 6 - 1 = 5

a₂₂ = 3.2 - 2 = 6 - 2 = 4

$A =\left[\begin{array}{ccc}2&1\\5&4\\\end{array}\right]$

$\left[\begin{array}{ccc}b_{11} &b_{12} \\b_{21} &b_{22} \end{array}\right]$

b₁₁ = 2.1 - 1 = 2 - 1 = 1

b₁₂ = 2.1 - 2 = 2 - 2 = 0

b₂₁ = 2.2 - 1 = 4 - 1 = 3

b₂₂ = 2.2 - 2 = 4 - 2 = 2

$B = \left[\begin{array}{ccc}1&0\\3&2\end{array}\right]$

LOGO :

$A+B= \left[\begin{array}{ccc}2&1\\5&4\end{array}\right] + \left[\begin{array}{ccc}1&0\\3&2\end{array}\right]\\ \\ \\ A+B = \left[\begin{array}{ccc}2+1&1+0\\5+3&4+2\end{array}\right] \\ \\ \\ A+B = \left[\begin{array}{ccc}3&1\\8&6\end{array}\right]$

Espero ter ajudado !!!!