Linear Transformations, Rotations and Linear Independence (Lecture 10)

Linear and orthogonal transformations of the plane, rotations and reflections in two and three dimensions, linear independence of vectors and of functions with the Wronskian, and when a homogeneous system has nonzero solutions. Lecture notes: https://saydanzad.com/courses/math-me... Chapters 0:00 Part 1: Linear and Orthogonal Transformations 7:28 Part 2: Rotations in 2D 11:09 Part 3: Rotations in 3D 14:03 Part 4: Linear Independence of Vectors 17:20 Part 5: Linear Independence and the Wronskian 21:45 Part 6: Homogeneous Equations PHYS 3260 - Mathematical Methods in the Physical Sciences (Kennesaw State University). #LinearAlgebra #Rotations #MathematicalMethods