Norms
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The "norm" of a vector is a measure of it's "size" or "magnitude". There are many different ways to express the norm of a vector. These are referred to as the Lk norm, and written....see attached
https://brainmass.com/math/linear-transformation/normals-linear-transformation-15129
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Ans 6.)
1.)
Because, L1 is the linear combination fo mods of v1 to vn hence this is linear transformation of all the vi (i = 1 to n).
In case of L2 norm of v is root of sum of ...
Solution Summary
This defines norms and asks whether they are linear transformations and one-to-one mappings
$2.19