Thread: Elementary linear algebra college work

test tomorrow need the instructions to how to do this problem.


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Question: A=( 0 2) find a matrix B such that C(A)=N(B)
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any kind of help please.

What are C(A) and N(B)?

C(A) is a matrix and N(B) is the north space of the matrix

C(A) may be a matrix but how does C operate on A? North space, I am not familiar with I am sorry, how is it defined?

Originally Posted by fatboy

C(A) is a matrix and N(B) is the north space of the matrix

I think the question was, "C(A) is a matrix with what relationship to A?"

-Dan

figured it out C(A) means the column space and N(A) is the nullspace hope that helps

Ok so the column space of is the set of all linear combinations of the columns of .

That is all vectors of the following form:

where are scalars.

We could think about these vectors as points in 3-space with certain restrictions: which leads to:



We want

such that



works I think.