Linear algebra and differential calculus

Julia is targeted toward the scientific community. Starting with this topic, we will see how Julia greatly eases mathematical calculations in the real world. We will start off by explaining how Julia proves to be a great resource for solving problems in linear algebra.

Linear algebra

The syntax used in Julia closely resembles that of MATLAB, but there are some important differences. To begin with, look at the matrix of some randomly generated numbers:

julia> A = rand(3,3)
3×3 Array{Float64,2}:
 0.821807   0.828687  0.974031
 0.996824   0.805663  0.274284
 0.0341033  0.224237  0.39982

The rand function takes in parameters asking for the dimensions of the array...