Finding linear combination between 3 vectors

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Dharshini
Dharshini 2023-4-25
编辑： Torsten 2023-4-25
Express(1,-2,5) in R^3 as linear combination of (1,1,1),(1,2,3),(2,-1,1)
  2 个评论
Torsten
Torsten 2023-4-25
编辑：Torsten 2023-4-25
Hint:
Expressing (1,-2,5) as a linear combination of (1,1,1),(1,2,3),(2,-1,1) means solving the linear system
[[1,1,1].',[1,2,3].',[2,-1,1].']*x = [1,-2,5].'

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回答（1 个）

Sufiyan
Sufiyan 2023-4-25
Ran in:
Hi,
You can refer to the below code to find linear combination between three vectors.
a=[1 1 1]';
b=[1 2 3]';
c=[2 -1 1]';
d=[1 -2 5]';
%unknown variables
syms k1 k2 k3
%equation
eqns = (k1.*a)+(k2.*b)+(k3.*c)-d==0 ;
vars = [k1 k2 k3];
[k1, k2, k3] = solve(eqns,vars)
k1 = 
k2 = 
3
k3 = 
2
Hope this helps!

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