Question

can u please help with linear transformations?

Answer 1

use the definition of a linear operator to show that the function
\[T:R ^{2}\rightarrow R ^{2}\]
given by the formula
\[T(x _{1},x _{2}) = (x _{1}+2x _{2},3x _{1}-x _{2})\]
is a linear operator

Answer 2

https://openstudy.com/users/klimenkov#/updates/5060c48fe4b02e139411015a