Re: Change of Basis function

• To: mathgroup at smc.vnet.net
• Subject: [mg68992] Re: Change of Basis function
• From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
• Date: Sat, 26 Aug 2006 02:04:31 -0400 (EDT)
• Organization: Uni Leipzig
• References: <ecmh90\$9iq\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hi,

and you don't like to tell us *what* your inner
product is ?
*and* you are unable to compute

InnerProduct[vector,#] & /@
{basisUnitVector1,basisUnitVector2,...}

very strange.
Regards
Jens

"David Boily" <dsboily at fastmail.ca> schrieb im
Newsbeitrag news:ecmh90\$9iq\$1 at smc.vnet.net...
|I would like to know if there is a function
capable of giving as output
| the representation of a vector in a given basis.
For example:
|
| FunctionX[{1,2,3}, {{1,2,0},{0,1,0},{0,0,1}}]
|
| (where the first argument is the vector and the
second the basis)
|
| would yield
|
| {1,0,3}
|
| and
|
| FunctionX[f x1 - b x2 + x3 - x2, {x1,x2,x3}]
|
| would yield
|
| {f, -b-1, 1}
|
| I'm more interested in the second case,
obviously, because the first one
| can be achieved with a simple matrix
multiplication.
|
| David Boily
| Center for Intelligent Machines
| Mcgill University
|

```

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