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I'm having trouble with these homework questions.

I have to prove that B*0v = 0v , where B is a scalar.

Also, I have to prove that if aX = 0v , then either a = 0 or X = 0

---where a is a scalar and X is a vector.

I know that I have to use the 8 axioms but I'm not sure where to begin.

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# Linear Algebra - Vector Spaces

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