Linear Algebra Retrospective

Everything I discovered after doing the linear algebra section of PreCalc last year

• I really liked both 3Blue1Brown’s Essence of Linear Algebra series: Youtube link   and Gilbert Strang’s OCW series: OCW Link
• From 3Blue1Brown - I  took away the emphasis on matrices as linear transformations, the focus on basic vectors and the illustration of the geometric interpretation of the determinant.
• From Strang: I picked up the idea of focusing on column vectors and deriving the determinant via properties first.
• I thought it was useful to come to stress what was general vs what was not when moving from 2d to 3d problems.
• Linear dependence/independence was another key concept that I stressed.
• Stress on the correspondence between row transforms and how one solves general system equations.
• I de-emphasized minors and  in favor of diagonalizing.
• Eigen vectors made more sense after all this preparation.