Q-If the product AB is the zero matrix,AB=0 show that the coulumn space of B is contained in the nullspace of A???
HOW??>>
HOW??>>
Do you know what the terms column space and nullspace mean? If you find these for me I'll help you out.Q-If the product AB is the zero matrix,AB=0 show that the coulumn space of B is contained in the nullspace of A???
HOW??>>
Dave, I know what the terms mean. I'm trying to get the OP to show me that he knows, too.
This is not the definition of the null space. If you don't know what the null space and column space mean, you won't be able to do the proof. I guarantee it.I know how to find but this is an abstract question...so its a proof and i am not getting how to do it!!!
I know null space is
Ax=0
Sorry, I just thought you were up for a challenge!Dave, I know what the terms mean. I'm trying to get the OP to show me that he knows, too.
Agreed.This is not the definition of the null space. If you don't know what the null space and column space mean, you won't be able to do the proof. I guarantee it.
I didnt want to get into details of definition..This is not the definition of the null space. If you don't know what the null space and column space mean, you won't be able to do the proof. I guarantee it.
doesn't convince me that you know what the term null space means.I know null space is
Ax=0
I guess the term INDEPENDENT COULUMS is more accurate because the dependent columns are included in that space as the dependent columns are actually linear combinations of independent columns!!!That's roughly it- the column space of a matrix is the space spanned by its columns (you don't need to add "independent").
Now, what is the nullspace of a matrix A?
Your earlier answer
doesn't convince me that you know what the term null space means.
by Aaron Carman
by Aaron Carman
by Aaron Carman