Question

São dadas as matrizes A = (aij) e B = (bij), quadradas de ordem 3, com aij =5i +2 j e bij = – 3i – 2j. Considerando C = A + B, calcule a matriz C.

Answer 1

Resposta:

a11 a12 a13

a21 a22 a23

a31 a32 a33

aij=5i+2j

a11=5.1+2.1=7   -------a21=5.2+2.1=12

a12=5.1+2.2=9  ------a22=5.2+2.2=14

a13=5.1+2.3=11 -------a23=5.2+2.3=16$\left[\begin{array}{ccc}7&9&11\\12&14&16\\17&19&21\end{array}\right]$

a31=5.3+2.1=17

a32=5.3+2.2=19

a33=5.3+2.3=21

b11 b12 b13

b21 b22 b23

b31 b32 b33         $\left[\begin{array}{ccc}-5&-7&-9\\-8&-10&-12\\-11&-13&-15\end{array}\right]$

bij=-3i-2j

b11=-3.1-2.1=-5

b12=-3.1-2.2=-7

b13=-3.1-2.3=-9

b21=-3.2-2.1=-8

b22=-3.2-2.2=-10

b23=-3.2-2.3=-12

b31=-3.3-2.1=-11

b32=-3.3-2.2=-13

b33=-3.3-2.3=-15

matriz A + matriz B=$\left[\begin{array}{ccc}2&2&2\\4&4&4\\6&6&6\end{array}\right]$

Explicação passo-a-passo:2  2  2

                                              4 4 4

                                              6 6 6