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## Main Question or Discussion Point

Hello,

I am trying to figure out how to best decompose a vector into a best fit linear superposition of other, given vectors.

For instance is there a way of finding the best linear sum of:

(3,5,7,0,1)

(0,0,4,5,7)

(8,9,2,0,4)

That most closely gives you (1,2,3,4,5)

My problem contains more, higher order vectors so if there is a general statistical way of doing a decomposition like this that would be great.

Thanks!

I am trying to figure out how to best decompose a vector into a best fit linear superposition of other, given vectors.

For instance is there a way of finding the best linear sum of:

(3,5,7,0,1)

(0,0,4,5,7)

(8,9,2,0,4)

That most closely gives you (1,2,3,4,5)

My problem contains more, higher order vectors so if there is a general statistical way of doing a decomposition like this that would be great.

Thanks!