Tag: Vector Spaces

• Vector Spaces and Linear Maps: From the Eight Axioms to the Rank-Nullity TheoremStarting from the eight axioms, we build subspaces, bases and dimension, prove the exchange lemma and the rank-nullity theorem, and test them on projections, differentiation and PCA.MathematicsLinear AlgebraUndergraduateLinear AlgebraVector SpacesBasis and DimensionLinear MapsRank-Nullity Theorem~44 min