Alguém pode me ajudar a resolver esse sistema usando a regra de cramer?
a) 3x + 4y - 1 = -1
-x + 2y + z = -3
2x + 5z = 2
b) 5 - 2( y + x ) = -3
1 + 3( y - x ) = 7
More Questions From This User See All
a) 3x + 4y - 1 = -1
-x + 2y + z = -3
2x + 5z = 2
b) 5 - 2( y + x ) = -3
1 + 3( y - x ) = 7
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
Ola matheus
a)
3x + 4y + 0z = 0
-x + 2y + z = -3
2x + 0y + 5z = 2
matriz A
3,4,0
-1,2,1
2,0,5
3,4,0
-1,2,1
det(A) = 30 + 0 + 8 - 0 - 0 + 20 = 58
matriz Ax
0,4,0
-3,2,1
2,0,5
0,4,0
-3,2,1
det(Ax) = 0 + 0 + 8 - 0 - 0 + 60 = 68
matriz Ay
3,0,0
-1,-3,1
2,2,5
3,0,0
-1,-3,1
det(Ay) = -45 + 0 + 0 - 0 - 6 - 0 = -51
matriz Az
3,4,0
-1,2,-3
2,0,2
3,4,0
-1,2,-3
det(Az) = 12 + 0 - 24 - 0 - 0 + 8 = -4
x = det(Ax)/det(A) = 68/58 = 34/29
y = det(Ay)/det(A) = -51/58
z = det(Az)/det(A) = -4/58 = -2/29
b)
5 - 2*(y + x) = -3
1 + 3*(y - x) = 7
5 - 2y - 2x = -3
1 + 3y - 3x = 7
-2x - 2y = 2
-3x + 3y = 6
x + y = 1
-x + y = 2
matriz A
1 1
-1 1
det(A) = 1 + 1 = 2
matriz Ax
1 1
2 1
det(Ax) = 1 - 2 = -1
matriz Ay
1 1
-1 2
det(Ay) = 2 + 1 = 3
x = det(Ax)/det(A) = -1/2
y = det(Ay)/det(A) = 3/2
pronto