QUESTÕES MATRIZES DETERMINANTES, ME AJUDEM
Soluções para a tarefa
Resposta:
Explicação passo-a-passo:
Determinantes
A)
A= [2]
D = 2
_________
B)
B =
1 2
-1 3
D= 1.3 - [2.(-1)]
D= 3 - [ -2]
D= 3+2
D= 5
____________
C)
6 2
4 3
D= 6.3 - 2.4
D = 18-8
D = 10
__________
D)
-3 -8
1 2
D = -3.2 - [(-8).1]
D= 6 - [-8]
D= 6+8
D= 14
______________
E)
3 2 -1 3 2
5 0 4 5 0
2 -3 1 2 -3
D= 0 + 16 + 15 - [0 - 36 + 10]
D= 31 - [ - 26]
D= 31 + 26
D= 57
____________
F)
2 1 -2 2 1
3 -1 0 3 -1
4 1 -3 4 1
D= 6 + 0 - 6 - [ 8 + 0 - 9]
D= 0 - [ -1]
D= 1
____________
G)
3 5 -1 3 5
0 4 2 0 4
0 0 -2 0 0
D= - 24 + 0 + 0 - [ 0 + 0 + 0]
D= - 24
____________
2.
A)
2 3 -2
0 1 x = 2
2 1 1
2 3 -2 2 3
0 1 x 0 1
2 1 1 2 1
2 + 6x - 0 - [-4 + 2x + 0] = 2
6x + 4 - 2x= 0
4x = - 4
x = - 1
___________
B)
(X-2) 6 = 2
3 5
5.(x-2)-18 = 2
5(x-2)= 2+18
5x- 10 = 20
5x = 20+10
5x = 30
x= 30/5
x = 6
C)
1 2 1
4 9 4 = 0
5 x (x-7)
1. 2. 1. 1 2
4 9. 4. 4 9
5 x (x-7) 5 x
9.(x-7) + 40 + 4x - [45 + 4x + 8.(x-7)] = 0
9x-63+4x+40-[45+4x + 8x - 56] = 0
13x- 23 - [-11+ 12x] = 0
13x -12x - 23 +11 = 0
X - 12 = 0
X = 12
D)
2x -4 = 38
8 3
6x- [(-4).8] = 38
6x- [-32] = 38
6x +32= 38
6x = 38-32
6x= 6
x= 1
E)
1 x 1
-2 -4 2 = 0
4 8 3
1. x. 1. 1. x
-2 -4 2 -2 -4 = 0
4. 8. 3. 4. 8
-12 + 8x - 16 - [-16 + 16 - 6x] = 0
8x - 28 - [ - 6x] = 0
8x - 28 + 6x= 0
14x = 28
x= 28/14
x= 2
__________
F)
2x -3 0
0 1 -2 = 26
3 -1 4
2x -3 0 2x 3
0. 1 -2 0 1
3. -1. 4 3 -1
8x + 18 + 0 - [0 + 4x + 0] = 26
8x + 18 - 4x = 26
4x = 26-18
4x= 8
x= 8/4
x = 2