Question

Asked Nov 4, 2019

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There exists a linear transformation T:IR^2019->IR^2019 that is onto but not one-to-one. Is this true or false?

Step 1

To determine whether the given statement about linear transformations is true or not

Step 2

The number 2019 is immaterial. We will prove that the statement is FALSE. (not only fo r2019, but for any positive integer n).

Step 3

Let n be a positive integer and V be a finite dimensional vector space. Then T is a linear transfor...

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