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OpenStudy (anonymous):
Show proofs for: a)The dimension of col(A) is rank(A) b)The dimension of ker(A) is the nullity of A
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OpenStudy (kinggeorge):
Well, for a., just reduce the matrix to row echelon form. From there, the rank is clearly the number of linearly independent column vectors. QED.
OpenStudy (kinggeorge):
As for part b, I thought that was the definition of nullity.
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