Respostas
Resposta:
1) A = [1 2 -1 0 4 3] B = [5 1 3 -2 0 2] C = [-6 -3 0 1 2 4]
x + A = (B + C)²
x + A = [5 - 6 1 - 3 3 + 0 - 2 + 1 0 + 2 2 + 4]²
x + A = [-1 -2 3 -1 2 6]²
x + [1 2 -1 0 4 3] = [1 4 9 1 4 36]
x = [1 4 9 1 4 36] - [1 2 -1 0 4 3]
x = [1-1 4-2 9-(-1) 1-0 4-4 36-3]
x = [0 2 10 1 0 33]
2) x = 5 y = 4 z = 3
[xz y z] + [xy yz 4] = [35 16 7]
- 7 - 4 = 3. então, z = 3
[x.3 y 3] + [xy y.3 4] = [35 16 7]
- y + 3y = 16
- 4y = 16
- y = 16/4
- y = 4
[3x 4 3] + [4x 12 4] = [35 16 7]
- 3x + 4x = 35
- 7x = 35
- x = 35/7
- x = 5
3) x = (-6, 2] y = 1
[-2y -1 x² 2] + [y 1 4x-12 -1] = [1 0 0 1]
[-2y+y -1+1 x²+4x-12 2-1)] = [1 0 0 1]
[y 0 x²+4x-12 1] = [1 0 0 1]
- 4 +- raiz de 4²-4.1.(-12)/2
- 4 +- raiz de 16 + 48/2
- 4 +- raiz de 64/2
- 4 +- 8/2
- 4 - 8/2 = -12/2 = -6
- 4 + 8/2 = 4/2 = 2