Gram-Schmidt Calculator

What is the Gram-Schmidt Process?

In mathematics, particularly linear algebra and numerical analysis, the Gram-Schmidt process is a method for orthonormalising a set of vectors in an inner product space, most commonly the Euclidean space Rn equipped with the standard inner product. The Gram-Schmidt process takes a finite, linearly independent set S = {v1, ..., vk} for k ≥ n and generates an orthogonal set S' = {u1, ..., uk} that spans the same k-dimensional subspace of Rn as S.¹

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