JSFHMaple 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 goals of Linear Algebra (and Calculus II with Analytic Geometry).Execute the commands by hitting return anywhere in each line:with(LinearAlgebra): with(plots):three planesplane1 := implicitplot3d({x+2*y+z = 3}, x = -4 .. 4, y = -4 .. 4, z = -4 .. 4, style = surfacewireframe, color = "Gray", transparency = .2):
plane2 := implicitplot3d({3*x+6*y-z = 4}, x = -4 .. 4, y = -4 .. 4, z = -4 .. 4, style=surfacecontour, color = "Niagara Azure"):
plane3 := implicitplot3d({5*x+10*y+z = 10}, x = -4 .. 4, y = -4 .. 4, z = -4 .. 4, style=surface, color = "Spring Orange"): displayed them togetherdisplay({plane1, plane2, plane3});parametric equation for our solution using the spacecurve commandparametric := spacecurve(<7/4-2*t, t, 5/4>, t = -2 .. 4, color=red, linestyle=Dot, thickness = 5):
display({plane1, plane2, plane3, parametric});2nd copy. Modify the -2..-1.8 to see the parameter in action:parametric := spacecurve(<7/4-2*t, t, 5/4>, t = -2 .. -1.8, color=red, linestyle=Dot, thickness = 5):
display({plane1, plane2, plane3, parametric});JSFH