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Khan Academy
Khan Academy: Showing That an Eigenbasis Makes for Good Coordinate Systems
Video creating a basis out of n linearly independent eigenvectors. Reviews transformations and change of basis matrices. Shows that when the eigenbasis is used as an alternate coordinate system, the transformation is a diagonal matrix...
Khan Academy
Khan Academy: Change of Basis: Coordinates With Respect to a Basis
Understanding alternate coordinate systems.
Khan Academy
Khan Academy: Worked Example: Distance and Displacement From Position Time Graph
Practice working these examples to find displacement and distance from position-time graphs. [9:03]