Understanding Matrix Ranks and Null Space: A Comprehensive Guide

[rdajunior95]

Hi guys,

I basically need help with matrices, I know all the basics about them like inverse, determinants, eigenvalues and eigenvectors and all but I need help in some topics like matrix rank, null space and all.

I haven't read about them in any book so if you guys can post me links of some websites which explain these topics in detail please help me! :)

 

[HallsofIvy]

Then you are not really asking about "matrices", you are asking about "linear transformations" on vector spaces.

Google on "linear transformations", "vector spaces" or, more specifically, "null space", or, more generally, "linear algebra".

 

[rdajunior95]

Can someone please provide me with a link cause I searched before on google and could not find anything good!

So please help me :)

 

[HallsofIvy]

Well, I googled on "vector space" "null space" and immediately got
http://online.redwoods.cc.ca.us/instruct/darnold/linalg/dim/dim.pdf
and
http://en.wikibooks.org/wiki/Linear_Algebra/Null_Spaces

They look good to me but I have no idea whether you would consider them "anything good".

 

[rdajunior95]

thanks for the links!