There are apparently many methods to show that a set of functions are linearly independent.
Forexample, there were some cases, where I saw use of derivative. At least to prove Lgrange polynomials are lin. indep., they were evaluated at certain points and their coordinates formed identity matrix which showed that they are linearly independent.
I guess, the later shows that polynomials are linearly independent iff the set evaluated at a number of points are linearly independent.
Are there other methods to show linear independence of functions/polynomials?
Best Answer
Here some methods can be used: