Hi So i am getting to the end of the material , and again I find one of the assignments I am supposed to understand saying left to the reading I really would like to see the proof to this a it would be really helpful
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do you know the rank-nullity theorem?
Yes it's rank A + nullity A = n Where n is the Number of col
Correct, now plugging in $\displaystyle \text{rk}(A)=\text{null}(A)$ to the rank-nullity theorem gives $\displaystyle n=2\text{rk}(A)$.
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