Question

(X) |1|
T (y) = |z|
(Z) |y|
Determine whether the function T: R^3->R^3 is a linear transformation

Answer 1

we need the following to hold:
\[\text{ Let } v_1,v_2 \in \mathbb{R}^3\\ T(v_1+v_2)=T(v_1)+T(v_2) \\ \text{ and } \\ T(av)=aT(v) \text{ where } a \text{ is a scalar }\]

Answer 2

are you there?