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| You Try It! |
| 1. Find the solution to the set of equations |
| 3x + 5y + 2z + 3w = 9 |
| 4x + 7y + 5z + w = 19 |
| 3x + 6y + 2z + 2w = 3 |
| x + 9y 8z + 13w = 29 |
| eqn1:=3*x+5*y+2*z+3*w=9; eqn2:=4*x+7*y+5*z+w=19; eqn3:=3*x+6*y+2*z+2*w=3; eqn4:=x+9*y+8*z+13*w=29; answer:=solve({eqn1.eqn2,eqn3,eqn4},{x,y,z,w}): evalf(answer); |
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| 2. Sketch the graph of the two equations |
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| . Use Maple to find the intersection points. |
| restart: with(plots): f1:=implicitplot(x^2+y^2=9,x=-3..3,y=-3..3,numpoints=1000,color=blue,scaling=constrained): f2:=implicitplot(x^2/16+y^2=1,x=-4..4,y=-1..1,color=red,scaling=constrained): display(f1,f2); |
| Warning, the name changecoords has been redefined |
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| 3. Use the method of Gauss-Jordan elimination to solve problem (1). |
| with(linalg): A:=array([[3,5,2,3,9],[4,7,5,1,19],[3,6,2,2,3],[1,9,8,13,29]]); |
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| for i from 1 to 4 do gaussjord(A,i) od; |
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| So from this we get the solution to be: |
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| Systems of Equations |
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