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Given a set of vectors $\{x_1,\ldots,x_n\}$, how can I find a set of orthonormal vectors $\{y_1,\ldots,y_m\colon m\leq n\}$ spanning the same space spanned by $\{x_i\}$?

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1 Answer 1

up vote 7 down vote accepted

Look up the Gram-Schmidt process.

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