The pseudo-inverse, returned by pinv
, is equal to a right inverse (or left inverse), if one exists:
julia> using LinearAlgebra
julia> A = [1 2 3; 0 1 2]
2×3 Matrix{Int64}:
1 2 3
0 1 2
julia> A * pinv(A) ≈ I
true
(Edit: Note that right or left inverses are not generally unique, however. Also, in most practical applications, it is a truism of numerical linear algebra that one should avoid computing inverses explicitly if possible.)