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Question: Hox to justify a Basis of R¨2 vectorial space

Question:Hox to justify a Basis of R¨2 vectorial space

JAMET 425 Maple
vector linear-algebra basis
November 14 2021
2

Justify that 2 vectors (1,1) and (1,2) are an R² base; How to write calculations correctly ?
<x, y> = lambda*<1, 1> + mu*<1, 2>:
 solve({lambda+mu=x,lambda+2*mu=y},{lambda,mu}):
 <x, y> := (2*x - y)*<1, 1> + (-x + y)*<1, 2>:
Thank you.
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