There is this line in book "Mathematics for Machine Learning":
" Every subspace $U ⊆ (R^n , +, ·)$ is the solution space of a homogeneous system of linear equations Ax = 0 for x ∈ $R^n$ "
I still haven't understood the statement. I understand the solution of this is null space. How can every possible subspace be the solution?
I am getting the feeling I either didn't understand the English or am lacking some serious foundation in linear algebra. I just started studying linear algebra.