Question

Let U be a vector space over a field F,a function T(u) = u for all
u∈U
is called ……………..
linear transformation
identity transformation
non linear transformation
reflective transformation

Answer 1

Answer on Question #32979 – Math – Linear Algebra

Let U be a vector space over a field F, a function T(u) = u for all u∈U is called ...

linear transformation

identity transformation

non linear transformation

reflective transformation

Solution

Identity transformation is special linear transformation, for which T(u) = u. There are linear transformations for which T(u) ≠ u. Function T(u) = u cannot be nonlinear by definition.

A reflection is a kind of transformation. It is basically a 'flip' of a shape over the line of reflection. We don't have such line. Thus, it's not true.

Answer: identity transformation.

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