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I just wanted to know if you compute a cross product of two vectors in R^3, do you get a vector in R^3 or an actual value(say both vectors have actually values)....

Another question. I did this in class but I wasn't sure how it would work. Let say I have a metrix 2x2. how do i check to see if a metrix {[a b(first row), c 1(bottom row)/ a,b,c in R], is a vector space?

now If i'm not wrong it isn't a vector space because if fail the second axiom (addition between 2 vectors) but my TA said it is a vector space...so could you guys show me how it is a vector space??

thank you.... :D

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# Cross product and vector space

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