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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- Dec 11th 2012, 03:22 AMohYeahrank nullity and linear transformation
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

Attachment 26179 - Dec 11th 2012, 07:30 AMDevenoRe: rank nullity and linear transformation
do you know the rank-nullity theorem?

- Dec 11th 2012, 07:44 AMohYeahRe: rank nullity and linear transformation
Yes it's

rank A + nullity A = n

Where n is the Number of col - Dec 11th 2012, 01:06 PMDrexel28Re: rank nullity and linear transformation
Correct, now plugging in $\displaystyle \text{rk}(A)=\text{null}(A)$ to the rank-nullity theorem gives $\displaystyle n=2\text{rk}(A)$.