Hi,

I'm having trouble with this subject and would like to ask for some help and explanations.

For example, I have the following question:

V1 = (1,1,1)

V2 = (2,3,1)

Find linear transformation T:R3 -> R3 such that:

a. Its kernel spans by V1 and V2

b. Its kernel span by V1 only

How should I approach this?

Any help will be appreciated.

Thanks