- #1
kent davidge
- 933
- 56
Homework Statement
Determine the vector subspace generated by ##A = \{x^2 -x, 3 - x^2, 1+x \} \subset P^2(x)##
Homework Equations
The Attempt at a Solution
I tried the usual check of vector addition and scalar multiplication to get the conditions that ##x## and ##y## should satisfy, but according to the Mathematica software the solution for ##x## and ##y## is the empty set!
OBS: by ##x## and ##y## I mean two elements in ##A##, one given by ##\{x^2 - x, 3 - x^2, 1+x \}## and the other by ##\{y^2 - y, 3 - y^2, 1 + y \}##.