- #1

mitch_1211

- 99

- 1

s = {(t,1,1),(1,t,1),(1,1,t)} and i want to find for which values of t this set is linearly independent.

For a set of vectors containing all numbers i setup c1v1 + c2v2 .. +cnvn = 0 and I need the only solution to be c1=c2=c3..=cn=0 for linear independence.

so then put this into a matrix (v1 v2 v3 .. vn)(c)=(0) or (v1 v2 v2 .. vn|0) and reduce this to determine if there are infinite solution, unique solution or no solution.

I can setup the matrices fine with the t's but not sure how to go about solving the system. Also not sure if the matrix approach is correct..

Mitch