Question

8) Dado as matrizes A =

4 6

3 −2

e B =

−1 5

−2 −1

e C =

1 5

0 7

, calcule:

I) A + B III) 2 · C

II) A - B IV) A · C​

Answer 1

Resposta:

A) B+C= 0 -6

2 -10

B) C-B= 0 4

-6 14

C) 2A= 10 8

0 -2

-6 4

D) B^t= 0 4

-5 -12

E) 1/2 (B-C)= 0 2

3 -7

Explicação passo-a-passo:

A) B+C= [0 -5] + [0 -1] = [0 -6]

[4 -12] [-2 2] [2 -10]

B) C-B= [0 -1] - [0 -5] = [0 4]

[-2 2] [4 -12] [-6 14]

C) 2A= 2. [5 4] = [5.2 4.2] = [10 8]

[0 -1] [0.2 (-1).2] [0 -2]

[-3 2] [(-3).2 2.2] [-6 4]

D) B^t= B= [0 -5] B^t= [0 4]

[4 -12] [-5 -12]

E) 1/2 (B-C)= 1/2. [0 -5] - [0 -1] = [0 -2,5] - [0 -0,5] = [0 2]

[4 -12] [-2 2] [2 -6] [-1 1] [3 -7]