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Change of basis | Essence of linear algebra, chapter 13
What is a change of basis, and how do you do it?
Khan Academy
Khan Academy: Linear Algebra: Change of Basis Matrix
A video lesson explaining how to change from coordinates with respect to a given basis to traditional Cartesian coordinates and vice versa by using a change of basis matrix. Includes concrete examples in R3. [17:55]
Khan Academy
Khan Academy: Linear Algebra: Alternate Basis Transformation Matrix Example Pt 2
Video continuing the example from the previous video where a transformation matrix with respect to an alternate basis was found given a transformation matrix with respect to the standard basis, an alternate basis and a change of basis...
Khan Academy
Khan Academy: Linear Algebra: Alternate Basis Transformation Matrix Example
Video reviewing the relationship between transformation matrices with respect to different bases. Addresses manipulating the equation to write it in terms of the transformation matrix with respect to the standard basis. The relationship...
Khan Academy
Khan Academy: Linear Algebra: Invertible Change of Basis Matrix
A video lesson explaining how to convert between traditional Cartesian coordinates and coordinates with respect to a given basis by using an invertible change of basis matrix. Includes two concrete examples in R2. [13:34]
Khan Academy
Khan Academy: Linear Algebra: Transformation Matrix With Respect to a Basis
Video discussing transformation matrices and how a vector is able to be mapped to the same resulting vector by using a transformation matrix with respect to the standard basis as well as one with respect to a different basis. Reviews how...