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  3. let a be an m x n matrix and b and x be vectors su

Let A be an m x n matrix and b and x be vectors such...

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Advance Math

Let A be an m x n matrix and b and x be vectors such thatAb=x.

a) What vector space is x in?

b) What vector space is b in?

c) Show that x is a linear combination of the columns of A.

d) Let x' be a linear combination of the columns of A. Show thatthere is a vector b' so that Ab' = x'.

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