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11/Solution #11/exercise.txt
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11/Solution #11/exercise.txt
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+ Solve the system of equations
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2x - 2y + z - w = 7
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- x + 4y - 5z + 3w = 1
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x + y - z + w = 4
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-4x + 2y + z - 2w = 6
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Commands:
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=========
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eq1: 2*x-2*y+z-w=7;
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eq2: -x + 4*y - 5*z + 3*w = 1;
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eq3: x + y - z + w = 4;
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eq4: -4*x + 2*y + z - 2*w = 6;
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linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]);
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Solution:
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=========
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(%i1) eq1: 2*x-2*y+z-w=7;
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(%o1) z - 2 y + 2 x - w = 7
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(%i2) eq2: -x + 4*y - 5*z + 3*w = 1;
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(%o2) - 5 z + 4 y - x + 3 w = 1
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(%i3) eq3: x + y - z + w = 4;
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(%o3) - z + y + x + w = 4
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(%i4) eq4: -4*x + 2*y + z - 2*w = 6;
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(%o4) z + 2 y - 4 x - 2 w = 6
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(%i5) linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]);
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116 39 58 69
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(%o5) [x = ---, y = --, z = - --, w = - --]
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21 7 21 7
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(%i6)
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Link to solution:
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=================
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http://maxima-online.org/?inc=r-762047752
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