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Which transformation is used in numerical linear algebra to zero out all entries below a specific element in a column using reflections?

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Householder transformation

Householder reflections are more numerically stable than the Gram-Schmidt process for computing QR decompositions. They are used to reflect a vector across a plane such that it aligns with a coordinate axis.

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  • In numerical linear algebra, what type of reflection is used to zero out elements below a pivot in a column?

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