This is a very basic question, but I am not understanding the concept here.(adsbygoogle = window.adsbygoogle || []).push({});

it asks, consider the linear transformation:

y_1(y subscript 1) = x_2 - x_3

y_2 = x_1*x_3

y_3 = x_1 - x_2

Can anyone explain why this is not linear? I am not sure what the criteria is and the book doesn't have any example like this reasoned out.

Thank you.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Very simple linear algebra question:

**Physics Forums | Science Articles, Homework Help, Discussion**