2.1 - Concepts of Group, Ring, and Field2.2 - Vector Space2.3 - Linear Transformation2.4 - Linear Algebra2.5 - Rank and Nullity of a Linear Transformation2.6 - Matrix of a Linear Transformation2.7 - Change-of-basis Matrix (Transforming Matrix or Transition Matrix)2.8 - Relation Between Matrices of a Linear Transformation in Different Bases2.9 - Normed Linear Space2.10 - Inner Product Space2.11 - Least Square Line Approximation