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The Gram-Schmidt Process

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We know about orthogonal vectors, and we know how to generate an orthonormal basis for a vector space given some orthogonal basis. But how do we generate an orthogonal or orthonormal basis given some other basis comprised of vectors that are not orthogonal? We can use the Gram-Schmidt Process! It looks tricky at first glance, but it’s not too bad. Let’s give it a try!

Script by Howard Whittle

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