# How to find function coefficients

I'm not an expert in math but I need to solve the following task:

I have several functions:

$$f(t)=k_1 f_1(t)+k_2 f_2(t)+k_3 f_3(t)+ \dotsc +k_n f_n(t)$$

Also I know all the functions' values: $f(t_j)$, $f_1(t_j)$, $f_2(t_j)$, $\dotsc$, $f_n(t_j)$, where $j \in \{0, \dotsc, m\}$.

I need to know the coefficients: $k_1, k_2, k_3, k_4, \dotsc, k_n$.

Is it possible?

Thanks

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It seems like you're new here, please visit the faq section to see how to format your posts using LaTeX. This will make your questions much easier to read and will make answering them a lot easier too! –  Tom Oldfield Nov 25 '12 at 16:20
Thank you, Tom. I suspected that there should be something like this. I'll for sure use it in future. Thank you for correcting my post. –  Mike Nov 25 '12 at 18:08
What you are asking for is a solution for a system of linear equations –  Paresh Nov 26 '12 at 9:54
I see, thank you for the hint, Paresh. –  Mike Nov 26 '12 at 10:34