Is a function with T(0) = [1 0 0]^T linear?

[charlies1902]

Homework Statement

The problem is attached. The problem statement is to "determine whether the function is a linear transformation between vector spaces."

Homework Equations

N/A

The Attempt at a Solution

T(0)=[1 0 0]^t ≠ 0, thus T is not linear.

Did i do that right? It seems way to simple (my professor usually gives us long problems).

 

[Dick]

Homework Statement

The problem is attached. The problem statement is to "determine whether the function is a linear transformation between vector spaces."

Homework Equations

N/A

The Attempt at a Solution

T(0)=[1 0 0]^t ≠ 0, thus T is not linear.

Did i do that right? It seems way to simple (my professor usually gives us long problems).

Yes, that's right.