IntroLinearAlgebra is a Julia package designed for students in an introductory linear algebra course. It uses MathJax to display matrices in an IJulia notebook, and it provides functions for step-by-step application of elementary row operations.
Run Pkg.clone("git://github.com/sswatson/IntroLinearAlgebra.jl.git") from a Julia prompt.
julia> using IntroLinearAlgebra
julia> M = [1 2 3; 4 5 6; 7 8 9]
3×3 Array{Int64,2}:
1 2 3
4 5 6
7 8 9
julia> rref(M)
3×3 Array{Rational{Int64},2}:
1//1 0//1 -1//1
0//1 1//1 2//1
0//1 0//1 0//1
julia> M = rowadd(M,2,1,-4)
3×3 Array{Int64,2}:
1 2 3
0 -3 -6
7 8 9
julia> M = rowswitch(M,3,1)
3×3 Array{Int64,2}:
7 8 9
0 -3 -6
1 2 3
julia> M = rowadd(M,3,1,-1//7)
3×3 Array{Rational{Int64},2}:
7//1 8//1 9//1
0//1 -3//1 -6//1
0//1 6//7 12//7
julia> rowscale(M,1,1//7)
3×3 Array{Rational{Int64},2}:
1//1 8//7 9//7
0//1 -3//1 -6//1
0//1 6//7 12//7
julia> setdigits(8) #changes the default number of digits to display in IJulia
