Mathematics Homework Solutions
Problem
#3056

Linear Algebra -- Linear Transformations

Let a be a fixed vector in R2. A mapping of the form
L(x) = x+a
is called a translation. Show that if a does not equal 0, then L is not a linear transformation. Describe or illustrate geometrically the effect of the translation.

Thanks for your help!


Solution Summary

This is a proof regarding translation mappings.

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