Gram-Schmidt Process in Three Dimensions

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The Gram–Schmidt process converts a set of linearly independent vectors to a set of orthonormal vectors. This Demonstration illustrates the process in three dimensions with several steps. The original vectors , are converted to a set of orthogonal vectors by subtracting appropriate projections. These vectors are then normalized to a set of orthonormal vectors .

Contributed by: Abby Brown (May 2013)
Open content licensed under CC BY-NC-SA


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