Systems of Linear Equations Based on a worksheet by Michael K. May, revised by Russell Blyth restart: with(LinearAlgebra): with(plots): with(plottools):

Warning, the name changecoords has been redefined

Warning, the assigned name arrow now has a global binding

The basic objectives are: 1) Use Maple to visualize the solution to a system of linear equations in R2. 2) Use Maple to visualize the solution to a system of linear equations in R3. 3) Express the general solution of a linear system in parametric form.

Consider the system of equations: eq1 := x + y = 3; eq2 := x - y = -1;

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

It is a simple exercise from college algebra to solve the system, obtaining the solution {x=1, y=2}. However, in this class, we are not as interested in solving this simple problem as we are in setting up a framework of understanding that we can use to attack larger systems of linear equations. Nevertheless, it is worthwhile to note that Maple will solve the system with the solve command. solve({eq1,eq2});

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

The same solve command lets us solve a single equation for a specified variable. In particular, we can solve eq1 for y. We can get the answer either as an expression, or in equation form. solve(eq1,y);solve(eq1,{y});

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

We can also plot the system and see its solution. plot({solve(eq1,y),solve(eq2,y)},x=-5..5,y=-5..5);

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

It should be noted that if we add in extra equations that are linear combinations of the initial set, then we will get the same solution. plot({solve(eq1,y),solve(eq2,y),solve(eq1-eq2,y), solve(2*eq1+eq2,y)}, x=-5..5,y=-5..5);

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

A system has one solution when all of the lines meet in a single point. To have more then one solution, all of the lines must meet together in at least two points. Since two points define a line, that would mean that the equations all define the same line. If we have only two lines in the system, the only way for there to be no solution is for the lines to be parallel. eq3 := x + y = 3; eq4 := 2*x + 2*y = 6; solve({eq3,eq4}); plot({solve(eq3,y),solve(eq4,y)},x=-5..5,y=-5..5);

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

The two equations above describe the same line, and so the solution set for the two equations is that whole line. eq5 := x + y = 3; eq6 := x + y = 1; solve({eq5,eq6}); plot({solve(eq5,y),solve(eq6,y)},x=-5..5,y=-5..5);

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

Since the two lines have no common point the solution set is empty. Note that Maple gives an empty response to the solve command. Three or more lines can meet pairwise in distinct points. Consider the following system: eq7 := x + y = 4; eq8 := x - y = 2; eq9 := 2*x - y = 1; plot({solve(eq7,y), solve(eq8,y), solve(eq9,y)}, x=-5..5, y=-5..5);

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

Any two lines meet, but the whole system has no solution.

1) Solve the system {2x-y=4, x+2y=-4} three ways, first with pen and paper using college algebra methods, then with the solve command using Maple, then graphically using Maple. eq10 := 2*x - y = 4; eq11 := x + 2*y = -4; solve({eq10,eq11});

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

plot({solve(eq10,y),solve(eq11,y)},x=-5..5,y=-5..5);

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 2) Attempt to solve the system {x+y=2, -x+y =2, 2x+y=-2} the same three ways.

If we try the same approach to visualizing systems of linear equations in three unknowns, we run into a minor display problem. eq10 := 2*x + 3*y + z = 2; eq11 := 2*x + 4*y + 7*z =6; eq12 := 3*x + 10*y + 5*z = 7; solve({eq10,eq11,eq12});

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

plot3d({solve(eq10,z),solve(eq11,z),solve(eq12,z)}, x=-5..5,y=-5..5, view=-5..5, axes=boxed);

6*-%+AXESLABELSG6%Q"x6"Q"yF'Q!F'-%*AXESSTYLEG6#%$BOXG-%%GRIDG6%;$!"&""!$""&F4F1X,F'F'I)anythingG%*protectedG[gl'!%"!!#\bm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gl'!%"!!#\bm":":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%F1F1X,F'F'F8[gl'!%"!!#\bm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g'!#:$"2+++++++g(FW

When Maple graphs 3D objects, by default it uses a color scheme that is the same for all objects. Maple does this to make it easy to perceive depth in the 2D display of a 3D object. Unfortunately, it makes it difficult to see intersections. We have to create plots in different colors for each of the equations, and then display them together. 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({ plot3d(solve(eq10,z),x=-5..5, y=-5..5, color=red), plot3d(solve(eq11,z),x=-5..5, y=-5..5, color=blue)}, view=-5..5, axes=boxed);

6'-I%GRIDG6$%*protectedGI(_syslibG6"6&;$!"&""!$""&F-F*X,F(F(I)anythingGF&[gl'!%"!!#\bm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gl'!%"!!#\bm":":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&F5F9F9F6-I*AXESSTYLEGF%6#I$BOXGF%-I+AXESLABELSGF%6&I"xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%FLFLF*

display({ plot3d(solve(eq10,z),x=-5..5, y=-5..5, color=red), plot3d(solve(eq11,z),x=-5..5, y=-5..5, color=blue), plot3d(solve(eq12,z),x=-5..5, y=-5..5, color=green)}, view=-5..5, axes=boxed);

6(-I%GRIDG6$%*protectedGI(_syslibG6"6&;$!"&""!$""&F-F*X,F(F(I)anythingGF&[gl'!%"!!#\bm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gl'!%"!!#\bm":":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&F5F9F9F6-F$6&F*F*X,F(F(F1[gl'!%"!!#\bm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xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%FQFQF*

The picture makes it clear that any two of these planes meet in a line and that all three planes meet in a single point. The solution to the system of equations is the set of points that are on all of the planes - in this case, a single point. The code for the picture above is a lot to construct at this point of the course. Instead, let's define a procedure named showplanes that graphs a set of planes for us. (This procedure can be copied to other worksheets. Note that the list of colors has to be defined for the procedure to work.) colors :=[red, green, blue, yellow, cyan, wheat, violet, gray]: showplanes := (eqnlist,xrange,yrange,zrange) -> display( {seq(plot3d(solve(op(i,eqnlist),z), x=xrange, y=yrange, color=colors[i]), i=1..nops(eqnlist))},view=zrange,axes=boxed): showplanes({eq10, eq11, eq12},-5..5,-5..5,-5..5);

6(-I%GRIDG6$%*protectedGI(_syslibG6"6&;$!"&""!$""&F-F*X,F(F(I)anythingGF&[gl'!%"!!#\bm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gl'!%"!!#\bm":":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&F5F9F6F9-F$6&F*F*X,F(F(F1[gl'!%"!!#\bm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xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%FQFQF*

Once again, if we add in equations to the system that are linear combinations of equations already in the system, then we get the same solution. showplanes({eq10, eq11, eq12,8*eq10-eq12,2*eq11-3*eq12},-5..5,-5..5,-5..5);

6*-I%GRIDG6$%*protectedGI(_syslibG6"6&;$!"&""!$""&F-F*X,F(F(I)anythingGF&[gl'!%"!!#\bm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gl'!%"!!#\bm":":401492492492492440139E79E79E79E74012AAAAAAAAAAAA4011B6DB6DB6DB6D4010C30C30C30C30400F9E79E79E79E7400DB6DB6DB6DB6D400BCF3CF3CF3CF44009E79E79E79E7A40080000000000004006186186186185400430C30C30C30C400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555543FF18618618618603FEB6DB6DB6DB6DA3FE3CF3CF3CF3CF33FD86186186186193FC2492492492498BFB8618618618608BFD5555555555552BFE249249249249340141861861861854013249249249248401230C30C30C30B40113CF3CF3CF3CE4010492492492492400EAAAAAAAAAAAA400CC30C30C30C30400ADB6DB6DB6DB74008F3CF3CF3CF3D40070C30C30C30C3400524924924924840033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DA3FEF3CF3CF3CF3CD3FE79E79E79E79E63FDFFFFFFFFFFFFF3FD0C30C30C30C323F98618618618640BFCB6DB6DB6DB6D4BFDCF3CF3CF3CF3ABFE618618618618740139E79E79E79E74012AAAAAAAAAAAA4011B6DB6DB6DB6D4010C30C30C30C30400F9E79E79E79E7400DB6DB6DB6DB6D400BCF3CF3CF3CF34009E79E79E79E7A40080000000000004006186186186185400430C30C30C30B400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555543FF18618618618603FEB6DB6DB6DB6D93FE3CF3CF3CF3CF23FD86186186186173FC2492492492494BFB8618618618610BFD5555555555552BFE2492492492491BFE9E79E79E79E7B4013249249249248401230C30C30C30B40113CF3CF3CF3CE4010492492492491400EAAAAAAAAAAAA400CC30C30C30C30400ADB6DB6DB6DB64008F3CF3CF3CF3D40070C30C30C30C3400524924924924840033CF3CF3CF3CE40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DA3FEF3CF3CF3CF3CC3FE79E79E79E79E53FDFFFFFFFFFFFFC3FD0C30C30C30C2E3F98618618618620BFCB6DB6DB6DB6DCBFDCF3CF3CF3CF3ABFE6186186186185BFEDB6DB6DB6DB6F4012AAAAAAAAAAAA4011B6DB6DB6DB6D4010C30C30C30C30400F9E79E79E79E7400DB6DB6DB6DB6D400BCF3CF3CF3CF34009E79E79E79E7940080000000000004006186186186186400430C30C30C30C400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555543FF18618618618603FEB6DB6DB6DB6D83FE3CF3CF3CF3CF23FD86186186186163FC2492492492490BFB8618618618610BFD5555555555552BFE249249249248FBFE9E79E79E79E79BFF0C30C30C30C30401230C30C30C30C40113CF3CF3CF3CF4010492492492491400EAAAAAAAAAAAA400CC30C30C30C30400ADB6DB6DB6DB64008F3CF3CF3CF3D40070C30C30C30C3400524924924924940033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DA3FEF3CF3CF3CF3CD3FE79E79E79E79E63FDFFFFFFFFFFFFD3FD0C30C30C30C303F98618618618620BFCB6DB6DB6DB6D4BFDCF3CF3CF3CF3ABFE6186186186183BFEDB6DB6DB6DB6BBFF2AAAAAAAAAAAA4011B6DB6DB6DB6D4010C30C30C30C30400F9E79E79E79E6400DB6DB6DB6DB6D400BCF3CF3CF3CF34009E79E79E79E7940080000000000004006186186186186400430C30C30C30C400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555543FF18618618618613FEB6DB6DB6DB6D93FE3CF3CF3CF3CF23FD86186186186153FC2492492492490BFB8618618618618BFD5555555555552BFE2492492492491BFE9E79E79E79E77BFF0C30C30C30C30BFF492492492492440113CF3CF3CF3CF4010492492492492400EAAAAAAAAAAAA400CC30C30C30C30400ADB6DB6DB6DB64008F3CF3CF3CF3D40070C30C30C30C3400524924924924940033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DB3FEF3CF3CF3CF3CE3FE79E79E79E79E63FDFFFFFFFFFFFFD3FD0C30C30C30C303F98618618618620BFCB6DB6DB6DB6D4BFDCF3CF3CF3CF3ABFE6186186186183BFEDB6DB6DB6DB69BFF2AAAAAAAAAAA8BFF679E79E79E79E4010C30C30C30C30400F9E79E79E79E7400DB6DB6DB6DB6D400BCF3CF3CF3CF34009E79E79E79E7940080000000000004006186186186186400430C30C30C30C400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555553FF18618618618613FEB6DB6DB6DB6DA3FE3CF3CF3CF3CF23FD86186186186153FC2492492492490BFB8618618618618BFD5555555555552BFE2492492492491BFE9E79E79E79E77BFF0C30C30C30C2EBFF4924924924922BFF86186186186184010492492492492400EAAAAAAAAAAAA400CC30C30C30C30400ADB6DB6DB6DB64008F3CF3CF3CF3C40070C30C30C30C3400524924924924940033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DB3FEF3CF3CF3CF3CE3FE79E79E79E79E63FDFFFFFFFFFFFFD3FD0C30C30C30C2C3F98618618618600BFCB6DB6DB6DB6DCBFDCF3CF3CF3CF3ABFE6186186186185BFEDB6DB6DB6DB6BBFF2AAAAAAAAAAA8BFF679E79E79E79CBFFA492492492492400F9E79E79E79E7400DB6DB6DB6DB6D400BCF3CF3CF3CF34009E79E79E79E794007FFFFFFFFFFFF4006186186186185400430C30C30C30C400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555553FF18618618618613FEB6DB6DB6DB6DA3FE3CF3CF3CF3CF23FD86186186186153FC249249249248CBFB8618618618620BFD5555555555556BFE2492492492491BFE9E79E79E79E79BFF0C30C30C30C30BFF4924924924922BFF8618618618616BFFC30C30C30C30C400EAAAAAAAAAAAA400CC30C30C30C30400ADB6DB6DB6DB64008F3CF3CF3CF3C40070C30C30C30C2400524924924924940033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DB3FEF3CF3CF3CF3CE3FE79E79E79E79E63FDFFFFFFFFFFFFD3FD0C30C30C30C2E3F986186186185E0BFCB6DB6DB6DB6DCBFDCF3CF3CF3CF3EBFE6186186186185BFEDB6DB6DB6DB6BBFF2AAAAAAAAAAA8BFF679E79E79E79CBFFA492492492490BFFE186186186186400DB6DB6DB6DB6D400BCF3CF3CF3CF34009E79E79E79E794007FFFFFFFFFFFF4006186186186185400430C30C30C30C400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555553FF18618618618613FEB6DB6DB6DB6DA3FE3CF3CF3CF3CF23FD86186186186163FC249249249248CBFB8618618618628BFD5555555555556BFE2492492492493BFE9E79E79E79E79BFF0C30C30C30C30BFF4924924924922BFF8618618618616BFFC30C30C30C30AC000000000000000400CC30C30C30C30400ADB6DB6DB6DB64008F3CF3CF3CF3C40070C30C30C30C2400524924924924840033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DB3FEF3CF3CF3CF3CE3FE79E79E79E79E63FDFFFFFFFFFFFFD3FD0C30C30C30C2E3F986186186185E0BFCB6DB6DB6DB6E4BFDCF3CF3CF3CF3EBFE6186186186187BFEDB6DB6DB6DB6DBFF2AAAAAAAAAAAABFF679E79E79E79CBFFA492492492490BFFE186186186184C000F3CF3CF3CF3D400BCF3CF3CF3CF34009E79E79E79E794007FFFFFFFFFFFF4006186186186185400430C30C30C30B400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555553FF18618618618613FEB6DB6DB6DB6DA3FE3CF3CF3CF3CF23FD86186186186163FC249249249248CBFB8618618618628BFD555555555555ABFE2492492492493BFE9E79E79E79E79BFF0C30C30C30C30BFF4924924924924BFF8618618618616BFFC30C30C30C30ABFFFFFFFFFFFFFFEC001E79E79E79E79400ADB6DB6DB6DB74008F3CF3CF3CF3C40070C30C30C30C2400524924924924840033CF3CF3CF3CE40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DB3FEF3CF3CF3CF3CE3FE79E79E79E79E63FDFFFFFFFFFFFFD3FD0C30C30C30C2E3F986186186185E0BFCB6DB6DB6DB6E4BFDCF3CF3CF3CF42BFE6186186186187BFEDB6DB6DB6DB6DBFF2AAAAAAAAAAAABFF679E79E79E79EBFFA492492492490BFFE186186186184C000F3CF3CF3CF3CC002DB6DB6DB6DB74009E79E79E79E794007FFFFFFFFFFFF4006186186186185400430C30C30C30B400249249249249140006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555553FF18618618618613FEB6DB6DB6DB6DA3FE3CF3CF3CF3CF23FD86186186186153FC249249249248CBFB8618618618628BFD555555555555ABFE2492492492495BFE9E79E79E79E7BBFF0C30C30C30C30BFF4924924924924BFF8618618618618BFFC30C30C30C30ABFFFFFFFFFFFFFFEC001E79E79E79E79C003CF3CF3CF3CF34008F3CF3CF3CF3D40070C30C30C30C2400524924924924840033CF3CF3CF3CE40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CF3FF36DB6DB6DB6DB3FEF3CF3CF3CF3CE3FE79E79E79E79E73FDFFFFFFFFFFFFE3FD0C30C30C30C2E3F98618618618600BFCB6DB6DB6DB6DCBFDCF3CF3CF3CF3EBFE6186186186187BFEDB6DB6DB6DB6FBFF2AAAAAAAAAAAABFF679E79E79E79EBFFA492492492490BFFE186186186184C000F3CF3CF3CF3CC002DB6DB6DB6DB6C004C30C30C30C3040080000000000004006186186186185400430C30C30C30B400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492493FF55555555555563FF18618618618623FEB6DB6DB6DB6DC3FE3CF3CF3CF3CF43FD86186186186183FC2492492492490BFB8618618618618BFD5555555555556BFE2492492492493BFE9E79E79E79E7BBFF0C30C30C30C30BFF4924924924924BFF8618618618616BFFC30C30C30C30ABFFFFFFFFFFFFFFEC001E79E79E79E78C003CF3CF3CF3CF3C005B6DB6DB6DB6D40070C30C30C30C3400524924924924840033CF3CF3CF3CE40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CF3FF36DB6DB6DB6DC3FEF3CF3CF3CF3CF3FE79E79E79E79E83FDFFFFFFFFFFFFF3FD0C30C30C30C303F98618618618600BFCB6DB6DB6DB6DCBFDCF3CF3CF3CF3EBFE6186186186187BFEDB6DB6DB6DB6FBFF2AAAAAAAAAAAABFF679E79E79E79EBFFA492492492490BFFE186186186184C000F3CF3CF3CF3CC002DB6DB6DB6DB5C004C30C30C30C30C006AAAAAAAAAAAA4006186186186186400430C30C30C30C400249249249249140006186186186183FFCF3CF3CF3CF3C3FF92492492492493FF55555555555563FF18618618618623FEB6DB6DB6DB6DC3FE3CF3CF3CF3CF43FD86186186186193FC2492492492494BFB8618618618618BFD5555555555556BFE2492492492491BFE9E79E79E79E79BFF0C30C30C30C30BFF4924924924924BFF8618618618616BFFC30C30C30C30ABFFFFFFFFFFFFFFEC001E79E79E79E79C003CF3CF3CF3CF2C005B6DB6DB6DB6CC0079E79E79E79E7400524924924924940033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3D03FF36DB6DB6DB6DC3FEF3CF3CF3CF3D13FE79E79E79E79E93FE00000000000023FD0C30C30C30C343F98618618618640BFCB6DB6DB6DB6D4BFDCF3CF3CF3CF3ABFE6186186186185BFEDB6DB6DB6DB6DBFF2AAAAAAAAAAAABFF679E79E79E79EBFFA492492492490BFFE186186186184C000F3CF3CF3CF3CC002DB6DB6DB6DB5C004C30C30C30C2FC006AAAAAAAAAAA9C008924924924923400430C30C30C30C400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555553FF18618618618623FEB6DB6DB6DB6DD3FE3CF3CF3CF3CF63FD861861861861B3FC2492492492498BFB8618618618610BFD5555555555552BFE2492492492491BFE9E79E79E79E79BFF0C30C30C30C30BFF4924924924924BFF8618618618618BFFC30C30C30C30ABFFFFFFFFFFFFFFEC001E79E79E79E79C003CF3CF3CF3CF2C005B6DB6DB6DB6CC0079E79E79E79E6C00986186186186140033CF3CF3CF3CF40015555555555553FFEDB6DB6DB6DB63FFB0C30C30C30C23FF73CF3CF3CF3CE3FF36DB6DB6DB6DB3FEF3CF3CF3CF3D03FE79E79E79E79E93FE00000000000023FD0C30C30C30C323F98618618618640BFCB6DB6DB6DB6D4BFDCF3CF3CF3CF3ABFE6186186186185BFEDB6DB6DB6DB6DBFF2AAAAAAAAAAAABFF679E79E79E79EBFFA492492492492BFFE186186186184C000F3CF3CF3CF3CC002DB6DB6DB6DB6C004C30C30C30C2FC006AAAAAAAAAAA9C008924924924923C00A79E79E79E79D400249249249249240006186186186183FFCF3CF3CF3CF3C3FF92492492492483FF55555555555553FF18618618618613FEB6DB6DB6DB6DC3FE3CF3CF3CF3CF53FD861861861861B3FC2492492492494BFB8618618618610BFD5555555555552BFE2492492492491BFE9E79E79E79E79BFF0C30C30C30C30BFF4924924924924BFF8618618618618BFFC30C30C30C30CBFFFFFFFFFFFFFFEC001E79E79E79E79C003CF3CF3CF3CF3C005B6DB6DB6DB6CC0079E79E79E79E6C009861861861861C00B6DB6DB6DB6DB-F36&F5F9F6F9-F$6&F*F*X,F(F(F1[gl'!%"!!#\bm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gl'!%"!!#\bm":":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&F5F6F6F9-F$6&F*F*X,F(F(F1[gl'!%"!!#\bm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xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%FenFenF*

Three planes can intersect along a line: eq13 := x - 3*z = -3; eq14 := 2*x + 2*y - z = -2; eq15 := x + 2*y + 2*z = 1; solve({eq13,eq14,eq15});

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

showplanes({eq13, eq14, eq15},-5..5,-5..5,-5..5);

6(-I%GRIDG6$%*protectedGI(_syslibG6"6&;$!"&""!$""&F-F*X,F(F(I)anythingGF&[gl'!%"!!#\bm":":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&COLORGF%6&I$RGBGF($F-F-$"*++++"!")F6-F$6&F*F*X,F(F(F1[gl'!%"!!#\bm":":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&F5F6F6F7-F$6&F*F*X,F(F(F1[gl'!%"!!#\bm":":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&F5F7F6F6-I*AXESSTYLEGF%6#I$BOXGF%-I+AXESLABELSGF%6&I"xGF(I"yGF(Q!F(-I%FONTGF(6#I(DEFAULTGF%-I%VIEWGF%6%FQFQF*

If a pair of planes are parallel, then any system containing equations for these planes will have no solution. Three planes can also meet pairwise in a collection of "parallel" lines: eq16 := x - 3*z = -3; eq17 := 2*x - 5*y - z = -2; eq18 := x + 2*y - 5*z = 1; solve({eq16,eq17,eq18});

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

showplanes({eq16, eq17, eq18},-5..5,-5..5,-5..5);

6)-%+AXESLABELSG6)Q"x6"Q"yF'Q!F'-%%FONTG6$%*HELVETICAG"#5%+HORIZONTALGF/F/-%*AXESSTYLEG6#%$BOXG-%%GRIDG6&;$!"&""!$""&F:F7X,F'F'I)anythingG%*protectedG[gl'!%"!!#\bm":":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-%&COLORG6&%$RGBG$F:!""$F.FEFD-F56&F7F7X,F'F'F>[gl'!%"!!#\bm":":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&FCFDFDFF-F56&F7F7X,F'F'F>[gl'!%"!!#\bm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t!#9

3) Use the showplanes command to give a visual description of the solution to the system {2x-3y+2z=1, x-6y+z=2, -x-3y-z=1} 4) Use the showplanes command to explain why the system {x+y+z=2, -x+y+z =3, 2x+y+z=-2} has no solution. Use pencil and paper to reach the same result symbolically.

Consider the system {x+2y+3z=6} of one equation in 3 variables. It is obvious that the solution is simply a plane. If we ask Maple to solve the system we get a solution that defines some of the variables in terms of themselves. eq19 := x+2*y+3*z=6; solve({eq19});

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

This indicates that we have a point in the solution for any pair of values assigned to y and z. We say that y and z are free variables, while x is a pivot variable. In terms of college algebra, we can only solve for one variable, in which case we might as well solve for x. solve(eq19,{x});

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

We would like to produce the translation vector, and spanning vectors for the solution in parametric form. The parametric form of the solution is a vector written in terms of the free variables. For this system it is: [-2y-3z+6, y, z]. The translation vector is found by setting the free variables to constant values and simplifying. (Thus one can have many correct translation vectors.) Usually we use the simplest values: set the free variables to 0. This gives a translation vector of [6, 0, 0] for our system. The spanning vectors are obtained by taking the vectors corresponding to the coefficients of the free variables. For this system a set of spanning vectors is {[-2, 1, 0], [-3, 0, 1]}. In the next worksheet we will look at a way of automating the process of writing a solution to a system in parametric form.

5) Find the general solution to the system {eq10, eq11}. Express your answer in parametric form. 6) Find the general solution to the system {4x -2y -z -w =1, x +3y -2z -2w =2}. Express your answer in parametric form.