Just for fun..

vish22

Ok just for fun,could someone please give a general linear transformation of p vectors in R(n) to R(m),by expressing the transformation as a Matrix vector product of lets say n vectors in R(m).p vectors in R(n).I've already done it for fun but I'd like to see how you guys go about it..

HallsofIvy

When you say "a general linear transformation of p vectors", what do you mean by "p vectors"?

vish22

as in "p" no. of vectors in R(n)

pwsnafu

Your problem is not worded properly. So we have [itex]v_1, \ldots, v_p \in \mathbb{R}^n[/itex] and you want a matrix that does what?

I really don't understand the point of the p. Do you want a matrix with [itex]v_i[/itex] as column vectors, and apply a GLT to the resulting matrix?

vish22

yea,the 1st part is right.. v1,v2...vp vectors in N-space-a GLT of these vectors expressed as a product with N vectors (represented in a matrix ofc) in M-space!

HallsofIvy

I don't consider trying to guess what you mean to be "fun".

vish22	Just for fun.. Ok just for fun,could someone please give a general linear transformation of p vectors in R(n) to R(m),by expressing the transformation as a Matrix vector product of lets say n vectors in R(m).p vectors in R(n).I've already done it for fun but I'd like to see how you guys go about it..

HallsofIvy Recognitions: Gold Member Science Advisor Staff Emeritus	When you say "a general linear transformation of p vectors", what do you mean by "p vectors"?

pwsnafu	Just for fun.. Your problem is not worded properly. So we have [itex]v_1, \ldots, v_p \in \mathbb{R}^n[/itex] and you want a matrix that does what? I really don't understand the point of the p. Do you want a matrix with [itex]v_i[/itex] as column vectors, and apply a GLT to the resulting matrix?