Gram-Schmidt Process, Orthogonalization Algorithm - Linear Algebra

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Health & Science Education linear algebra gram-schmidt orthogonalization gram-schmidt process gram schmidt orthogonalization process gram-schmidt gram schmidt process linear algebra algebra vector spaces linear algebra oxford linear algebra

This video explains the Gram-Schmidt process to find an orthogonal or orthonormal basis from a set of basis vectors (linearly independent), including an example. QR decomposition is deferred to a tutorial on numerical methods.

0:00 Orthogonal and orthonormal sets
3:43 Orthonormal basis and coordinate vectors
7:49 Orthogonal projection
11:33 Gram-Schmidt process with example

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