Linear transformatiom

[Btuce]

I have a question in these exercise, it tells me to find a linear transformation such as Nu f= S and Nu (f o f)= T. I dont understand where did it came F (0,1,0)= (0,1,0) and alpha=1 and beta=-1. Please give a concrete answer,thanks.

 

[Deleted member 4993]

I have a question in these exercise, it tells me to find a linear transformation such as Nu f= S and Nu (f o f)= T. I dont understand where did it came F (0,1,0)= (0,1,0) and alpha=1 and beta=-1. Please give a concrete answer,thanks.

Attachment too faint - cannot read!

 

[Steven G]

I got it a bit darker.