Inner Products, Projections and the SVD · free preview

Norms

Norms

1. Norms

Norms

2. Norms (2)

Norms (2)

3. Norm axioms

Which property is not required of a norm ∥⋅∥\|\cdot\| on a vector space VV?

4. Vocabulary: the $\ell_1$ norm

In one word, the norm ∥x∥1=∑i∣xi∣\|x\|_1 = \sum_i |x_i| is also called the ______ norm.

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