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Enrique Andrade Gonzalez 2018-01-11 03:54:01 +00:00
parent 9bfdc2279b
commit 12b267410e
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11/Solution #11/exercise.txt → 11/Solution #11/exercise1.txt
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@ -1,37 +1,37 @@
+ Solve the system of equations + Solve the system of equations
2x - 2y + z - w = 7 2x - 2y + z - w = 7
- x + 4y - 5z + 3w = 1 - x + 4y - 5z + 3w = 1
x + y - z + w = 4 x + y - z + w = 4
-4x + 2y + z - 2w = 6 -4x + 2y + z - 2w = 6
Commands: Commands:
========= =========
eq1: 2*x-2*y+z-w=7; eq1: 2*x-2*y+z-w=7;
eq2: -x + 4*y - 5*z + 3*w = 1; eq2: -x + 4*y - 5*z + 3*w = 1;
eq3: x + y - z + w = 4; eq3: x + y - z + w = 4;
eq4: -4*x + 2*y + z - 2*w = 6; eq4: -4*x + 2*y + z - 2*w = 6;
linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]); linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]);
Solution: Solution:
========= =========
(%i1) eq1: 2*x-2*y+z-w=7; (%i1) eq1: 2*x-2*y+z-w=7;
(%o1) z - 2 y + 2 x - w = 7 (%o1) z - 2 y + 2 x - w = 7
(%i2) eq2: -x + 4*y - 5*z + 3*w = 1; (%i2) eq2: -x + 4*y - 5*z + 3*w = 1;
(%o2) - 5 z + 4 y - x + 3 w = 1 (%o2) - 5 z + 4 y - x + 3 w = 1
(%i3) eq3: x + y - z + w = 4; (%i3) eq3: x + y - z + w = 4;
(%o3) - z + y + x + w = 4 (%o3) - z + y + x + w = 4
(%i4) eq4: -4*x + 2*y + z - 2*w = 6; (%i4) eq4: -4*x + 2*y + z - 2*w = 6;
(%o4) z + 2 y - 4 x - 2 w = 6 (%o4) z + 2 y - 4 x - 2 w = 6
(%i5) linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]); (%i5) linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]);
116 39 58 69 116 39 58 69
(%o5) [x = ---, y = --, z = - --, w = - --] (%o5) [x = ---, y = --, z = - --, w = - --]
21 7 21 7 21 7 21 7
(%i6) (%i6)
Link to solution: Link to solution:
================= =================
http://maxima-online.org/?inc=r-762047752 http://maxima-online.org/?inc=r-762047752