Maple is a computer algebra system, which was first developed in 1980 at the University of Waterloo in Canada.Maple can handle numerical, symbolic, and graphical representations. Exposure to this type of technology is a course goal of Linear Algebra (and Calculus I with Analytic Geometry).Execute the commands by hitting return anywhere in each line:with(LinearAlgebra): with(plots):graph1:=spacecurve({[t, 2*t, 3*t, t = 0 .. 1]}, color = "Niagara Azure", thickness = 3):
graph2:=textplot3d([1, 2, 3, ` vector [1,2,3]`],color = black):
graph3:=spacecurve({[-3*t,0*t,1*t,t = 0 .. 1]}, color = "Spring Orange", thickness = 4, linestyle=Dot):
graph4:=textplot3d([-3, 0, 1, ` vector [-3,0,1]`],color = black):
display(graph1,graph2,graph3,graph4,axes=normal);DotProduct(Vector([1,2,3]),Vector([-3,0,1]));M:=Matrix([[2,-1,3,b1],[1,3,-2,b2],[5,4,1,b3]]);
GaussianElimination(M);DotProduct(Vector([2,1,5]),Vector([modify,modify,modify]));plot1:=implicitplot3d(1*x+2*y+z=0,x=-5..5, y = -5..5, z=-5..5, style=surfacecontour, color="Niagara Azure"):
plot2:=spacecurve({[-11/7*t, -13/7*t, 1*t, t = 0 .. 1]}, color = "Spring Orange", thickness = 3):
display(plot1,plot2);LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=