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.