I have :(adsbygoogle = window.adsbygoogle || []).push({});

c1(t+1) + c2(t^2 + 2) + c3(t^2 -t) = 0 for all t.

by specifying different values of t. I get

t=-1: 3c2 + 2c3=0

t=0: c1+2c2 =0

t=1:2c1 + 3c2 =0

How can I check that the only solution is c1=c2=cc3=0 ?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Vector spaces

**Physics Forums | Science Articles, Homework Help, Discussion**