Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
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Course content
1 modules • 39 lessons • 9.5 hours of video
Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
39 lessons
• 9.5 hours
Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
39 lessons
• 9.5 hours
- Eigenvalues of a 3x3 matrix | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy14:08
- Change of basis matrix | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy17:55
- Finding eigenvectors and eigenspaces example | Linear Algebra | Khan Academy14:34
- Eigenvectors and eigenspaces for a 3x3 matrix | Linear Algebra | Khan Academy15:34
- Projections onto subspaces | Linear Algebra | Khan Academy17:26
- Introduction to orthonormal bases | Linear Algebra | Khan Academy11:16
- Least squares examples | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy18:50
- Showing that an eigenbasis makes for good coordinate systems | Linear Algebra | Khan Academy13:09
- Alternate basis transformation matrix example part 2 | Linear Algebra | Khan Academy12:36
- Changing coordinate systems to help find a transformation matrix | Linear Algebra | Khan Academy29:00
- Orthogonal complement of the nullspace | Linear Algebra | Khan Academy03:27
- Representing vectors in rn using subspace members | Linear Algebra | Khan Academy27:00
- Least squares approximation | Linear Algebra | Khan Academy15:32
- Introduction to eigenvalues and eigenvectors | Linear Algebra | Khan Academy07:43
- Transformation matrix with respect to a basis | Linear Algebra | Khan Academy18:02
- Orthogonal complements | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy22:08
- Subspace projection matrix example | Linear Algebra | Khan Academy13:04
- Another least squares example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy13:25
- Finding projection onto subspace with orthonormal basis example | Linear Algebra | Khan Academy06:42
- Coordinates with respect to orthonormal bases | Linear Algebra | Khan Academy15:28
- Another example of a projection matrix | Linear Algebra | Khan Academy21:36
- Gram-Schmidt example with 3 basis vectors | Linear Algebra | Khan Academy13:57
- Projection is closest vector in subspace | Linear Algebra | Khan Academy09:05
- A projection onto a subspace is a linear transformation | Linear Algebra | Khan Academy16:16
- Unique rowspace solution to Ax = b | Linear Algebra | Khan Academy19:12
- Example using orthogonal change-of-basis matrix to find transformation matrix | Khan Academy27:04
- Alternate basis transformation matrix example | Linear Algebra | Khan Academy13:20
- Invertible change of basis matrix | Linear Algebra | Khan Academy13:34
- dim(v) + dim(orthogonal complement of v) = n | Linear Algebra | Khan Academy09:27
- Example solving for the eigenvalues of a 2x2 matrix | Linear Algebra | Khan Academy05:39
- Rowspace solution to Ax = b example | Linear Algebra | Khan Academy19:38
- The Gram-Schmidt process | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy19:24
- Proof of formula for determining eigenvalues | Linear Algebra | Khan Academy09:19
- Gram-Schmidt process example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy13:14
- Visualizing a projection onto a plane | Linear Algebra | Khan Academy09:28
- Coordinates with respect to a basis | Linear Algebra | Khan Academy16:08
- Projections onto subspaces with orthonormal bases | Linear Algebra | Khan Academy16:14
- Orthogonal matrices preserve angles and lengths | Linear Algebra | Khan Academy11:16
- Orthogonal complement of the orthogonal complement | Linear Algebra | Khan Academy12:18
