Orthogonality, Inner Product Spaces, Examples - Linear Algebra

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Science Education linear algebra inner product inner product spaces orthogonality in inner product spaces inner product space inner product spaces linear algebra orthogonality inner products linear algebra real inner product spaces

This video explains what an orthogonal inner product of zero means, including the orthogonal complement, basis of row space and null space of a matrix, angle between vectors, notion of length and distance, and example practice problems. Orthonormal basis is deferred to another tutorial.

0:00 Angle between vectors
2:05 Length and distance
8:59 Orthogonality
11:31 Orthogonal complements

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