# rank nullity and linear transformation

• Dec 11th 2012, 03:22 AM
ohYeah
rank 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 AM
Deveno
Re: rank nullity and linear transformation
do you know the rank-nullity theorem?
• Dec 11th 2012, 07:44 AM
ohYeah
Re: 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 PM
Drexel28
Re: rank nullity and linear transformation
Correct, now plugging in $\text{rk}(A)=\text{null}(A)$ to the rank-nullity theorem gives $n=2\text{rk}(A)$.