Determine if the statements below are True or False. If it’s True, explain why. If it’s False explain why not, or simply give an example demonstrating why it’s false. If T : R2 → R2 is a linear...

Determine if the statements below are True or False.
If it’s True, explain why. If it’s False explain why not, or simply give an example
demonstrating why it’s false.

If T : R2 → R2
is a linear transformation which has T(e1) = T(e2), then AT has
eigenvalue 0.