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

Let A be an m x n matrix and b and x be vectors such that Ab=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 that there is a vector b' so that Ab' = x'.

Expert Solution

Colby Messinger answered 1 year ago

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

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