Question

Suppose that vector v=a(1,1)+b(1,-1) and that vector v=c(2,1)+d(1,2). Compute the matrix M so that (c,d)=M(a,b). I believe that M is suppose to be the transition matrix, but I am having difficulty with setting up. I took the inverse of both (1 1, 1 -1) and (2 1, 1 2) but I do not know which one to use and where to go from there. Please help.

Answer 1

isnt this the eigenvector?

Answer 2

Eigenvectors are not for another 3 chapters... so I do not think that is what my professor was hoping for us to identify.

Answer 3

This problem comes from a chapter about vector spaces. I was just thinking that it was about changing basis (but I could be wrong).

Answer 4

ok

Answer 5

found you

Answer 6

you have two vectors?

Answer 7

ok the question looks good

Answer 8

Now, I do not know if the two v's are suppose to be the same v or if they are supposed to be representing two seperate v's.