Q31Section B (Section B)31 of 60

Properties of a Householder reflection

Let $v\in\mathbb R^k$ with $v^Tv\ne0$ . Let

$P=I-2\frac{vv^T}{v^Tv},$

where $I$ is the $k\times k$ identity matrix. Then which of the following statements is (are) TRUE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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