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# Orthonormal Bases : Projection

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1. Let Complex 3-space C^3 be equipped with the standard inner product and let W be the subspace of C^3 that is spanned by u_1= (1, 0, 1) and u_2= (1/&#61543;3, 1/&#61543;3, -1/&#61543;3). Project the vector v= (1, i, i) onto W. Show work.

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&#61543;: is the square root of

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1. Let Complex 3-space C^3 be equipped with the standard inner product and let W be the subspace of C^3 that is spanned by u_1= ...

#### Solution Summary

A projection is calculated from an inner product using Gram-Schmidt. The solution is detailed and well presented.

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