Linear Algebra, Math, Mathematics, Course, Education.
simple: a subset of a vector space is a subspace if it satisfies all the properties we described earlier, meaning it is itself a vector space. For example, ℝ³ is a vector space, and a subset of it is ℝ² (think of the xy-plane within the 3-dimensional space). We saw that ℝ², on its own, is a vector