Exploring General Linear Transformations of p Vectors in R(n) and R(m)

[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 let's 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 $v_1, \ldots, v_p \in \mathbb{R}^n$ and you want a matrix that does what?

I really don't understand the point of the p. Do you want a matrix with $v_i$ 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".