(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

express the vector (6,-4,7) as a linear combination of (4,-2,1) and (-3,1,2)

2. Relevant equations

3. The attempt at a solution

I am not quite sure how to go at it but this is what I am assuming to do:

(C1*4,C2*-2,C3*1)=(6,-4,7)

C1=3/2

C2=2

C3=7

and the same method for the 2nd one? I know how to show linear dependence and dependence as a vector is independent if c1=c2=c3 and not if constants aren't equal. Any help in how to solve this is appreciated.

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# Expressing a vector as a linear combination

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