Question

1) Determine a matriz A= ()3×3 tal que aij = 5i – 3j + 2 .


Me ajudem prfvr!

Answer 1

Resposta:

A=

⎣

⎢

⎡

a

11

a

21

a

31

a

12

a

22

a

32

⎦

⎥

⎤

A=

⎣

⎢

⎡

3.1+1

3.2+1

3.3+1

3.1+2

3.2+2

3.3+2

⎦

⎥

⎤

A=

⎣

⎢

⎡

4

7

10

5

8

11

⎦

⎥

⎤

Answer 2

Explicação passo-a-passo:

Temos a seguinte matriz A:

$A=\left[\begin{array}{ccc}a_{11} &a_{12} &a_{13} \\a_{21} &a_{22} &a_{23}\\a_{31} &a_{32} &a_{33}\end{array}\right]$

Temos que $a_{ij}=5i-3j+2$.

$a_{11}=5.1-3.1+2=5-3+2=4\\a_{12}=5.1-3.2+2=5-6+2=1\\a_{13}=5.1-3.3+2=5-9+2=-2\\a_{21}=5.2-3.1+2=10-3+2=9\\a_{22}=5.2-3.2+2=10-6+2=6\\a_{23}=5.2-3.3+2=10-9+2=3\\a_{31}=5.3-3.1+2=15-3+2=14\\a_{32}=5.3-3.2+2=15-6+2=11\\a_{33}=5.3-3.3+2=15-9+2=8$

$\boxed{\boxed{A=\left[\begin{array}{ccc}4 &1&-2 \\9 &6 &3\\14 &11 &8\end{array}\right]}}$