LA, Section 4 5, n vectors in an n dimensional vector space
Channel: Gregory Moses
Date: 02/10/2021

A basis must satisfy two conditions.  However, if a set has the correct number of elements (i.e. if a set in an n-dimensional space has n elements), then satisfying either of the conditions causes the other one to be satisfied automatically.  This material is from Section 4.5 of your textbook.