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

Let a1, a2, ..., an live in R. Prove that the equation

det [ A ] = 0

where A:

1 x x^2 ... x^n

1 a1 a1^2 ... a1^n

1 a2 a2^2 ... a2^n

. . . . .

. . . . .

. . . . .

1 an an^2 ... an^n

has exactly n solutions if and only if the a1, ..., an are distinct; i.e. ai=/=aj for all i=/=j

2. Relevant equations

None

3. The attempt at a solution

Well, my problem is that I don't even know where to really start. So my attempts at a solution don't exactly make much sense. I was just playing around hoping I would come up with something, which I didn't

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# Homework Help: Linear algebra proof

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