Re: completing the square on and expression in matrix form
- To: mathgroup at smc.vnet.net
- Subject: [mg34243] Re: completing the square on and expression in matrix form
- From: "tilemachos" <tasosarv at otenet.gr>
- Date: Sat, 11 May 2002 04:05:04 -0400 (EDT)
- References: <abfs3k$gsa$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
a{(x-b/2a)^2-b^2/4a^2}=
a{(x-b/2a)^2-(b/2a)^2}=
a(x-b/2a+b/2a)(x-b/2a-b/2a)=
ax(x-b/a)=.........
Ï "Chris" <cjque at umich.edu> Ýãñáøå óôï ìÞíõìá
news:abfs3k$gsa$1 at smc.vnet.net...
> Hello all,
>
> I was wondering if anyone could teach me how to use mathematica to
> "complete the square" on an expression in matrix form. I am a
> relatively new user of mathematica and I don't understand how to do
> this.
>
> For example
>
> I am trying to complete the square
>
>
> ax^2 - bx +_______ - _______ = a[( x - b/2a)^2 - b^2/(4a^2)]
>
>
> on
>
>
> 1) b'[Z' Z / (s^2) + T^(-1) ]b - 2 [ ( Y - X G)' Z / (s^2) ] b
>
>
> I claim that 1) is quadratic in b
> where Y is n x 1
> X is n x p
> b is r x 1, b' is 1 x r
> T is r x r
> Z is n x r, Z' is r x n
> G is p x 1
> and s is 1 x 1 ( a scalar)
>
>
> [Z' Z / (s^2) + T^ (-1) ] is symmetric also.
>
> Any help would be great. I am working on my dissertaion proposal and I
> am stuck.
>
> Thank you,
>
> Chris Johnson
> Grad student
> cjque at umich.edu
>