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

Under what conditions on the numbers a and b are the vectors (1,a), (1,b) linearly independent in R2?

2. Relevant equations

3. The attempt at a solution

x(1,a)+y(1,b)=(0,0)

(x,ax)+(y,by)=(0,0)

(x+y, ax+by)=(0,0)

x+y=0, ax+by=0

x=-y, ax=-by

unsure where to go from here...

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# Conditions for linear independence

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