proof on lnear transformation

[beavis]

Prove or disprove: T(v)=3v is a linear transformation

 

[royhaas]

Show that \(\displaystyle T(v_1+v_2)=T(v_1)+T(v_2)\) for any two vectors in the space, and that \(\displaystyle T(cv)=cT(v)\) for any scalar \(\displaystyle c\).

 

[beavis]

I don't quite understand what you mean. Could you elaborate a little more?

 

[pka]

I don't quite understand what you mean. Could you elaborate a little more?

Do you understand what a linear transformation is?
If so, tell us. Otherwise, you need a one-on-one meeting with your instructor.