MHB Determinant - Proof for distinct real numbers

Dethrone
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I was able to prove a), but I am unsure how to prove b. Is there some sort of geometric interpretation I should be aware of?
 

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Rido12 said:
I was able to prove a), but I am unsure how to prove b. Is there some sort of geometric interpretation I should be aware of?

Hey Rido! ;)

One way is apply the property of a determinant that it is 0 iff its columns form a linear combination. (Thinking)
 

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