True or false If A and B have the same RREF then N(A) = N(B).

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pramodpandey | College Teacher | (Level 3) Valedictorian

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Let A be matrix of order  m x n .

So  also  has same order  m x n.

 Let rank of B = r= rank (A)

By rank nullity theorem


N(A)=n-r                        (i)


N(B)=n-r                        (ii)

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