Find out which of the transformations in Exercises 1 through 50 are linear. For those that are linear, determine whether they are isomorphism, from to .
The transformation is not a linear transformation.
Consider two linear spaces V and W. A transformation T is said to be a linear transformation if it satisfies the properties,
For all elements f,g of v and k is scalar.
An invertible linear transformation is called an isomorphism.
Consider the transformation , from to .
Check whether the transformation T satisfies the below two conditions or not.
Verify the first condition.
Let and be two polynomial functions from . Then, ,
It is clear that, the first condition is not satisfied.
Thus, T is not a linear transformation.
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