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!

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/linear-transformation/linear-algebra-linear-transformations-2vg