# Just for fun

1. Jun 23, 2012

### 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..

2. Jun 23, 2012

### HallsofIvy

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

3. Jun 24, 2012

### vish22

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

4. Jun 24, 2012

### 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?

5. Jun 25, 2012

### 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!

6. Jun 25, 2012

### HallsofIvy

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