Math Help - Functions and linear transformation

1. Functions and linear transformation

Can someone help me answer a, b , c , d and f please.

2. Re: Functions and linear transformation

You just need to verify the definition!

A transformation is Linear if

$T(a\mathbf{v}+\mathbf{w})=aT(\mathbf{v})+T(\mathbf {w})$

3. Re: Functions and linear transformation

Originally Posted by TheEmptySet
You just need to verify the definition!

A transformation is Linear if

$T(a\mathbf{v}+\mathbf{w})=aT(\mathbf{v})+T(\mathbf {w})$
Is that all the background knowledge I will need? thanks