- #1
'AQF
- 33
- 0
"Let Px be union of all polynomials.
Choose a an element of R, and define ta : Px --> R by ta(f) = f(a)
Let T=ker(Ta). Prove that the map
p(x) |--> (x − a)p(x)
is a linear, one-to-one, and onto transformation Px --> T ."
Is the assertation in the problem correct?
If so, how do you prove it?
Choose a an element of R, and define ta : Px --> R by ta(f) = f(a)
Let T=ker(Ta). Prove that the map
p(x) |--> (x − a)p(x)
is a linear, one-to-one, and onto transformation Px --> T ."
Is the assertation in the problem correct?
If so, how do you prove it?