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MathGroup Archive 1998

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Re: How to transpose vector?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg14714] Re: How to transpose vector?
  • From: "A.ODA" <a-oda at muj.biglobe.ne.jp>
  • Date: Tue, 10 Nov 1998 01:21:05 -0500
  • Organization: BIGLOBE dial-up user
  • References: <720th6$1vl@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Nobuhiko Tamura wrote in message <720th6$1vl at smc.vnet.net>...
>I have a problem about manupirating vectors. I wanted to make 3x3
>matrixtwo by using 3x1 vector alpha and beta. and I tried by
>
>>>Transpose[alpha].beta
>
>but it dosen't work.
>Please tell me how to do it.


If you want to use "Transpose" operation to "vectors", you should treat
it as 1x3 or 3x1 tensor.  So you should write {{ a, b, c}} instead of
{a, b, c} as a representation of  3-dim vector (a, b, c). And you can
find the result of "Transpose[{{a, b, c}}]" will be {{a}, {b}, {c}} and
the operation "Transpose[{alpha}].{beta}" will work well as you've
wanted.

Try "{{a},{b},{c}}//MatrixForm" and "{{a, b, c}}//MatrixForm" on
Mathematica Ver.3 and you will get column and raw vector of (a, b, c). 
Also, you can confirm the operation "Transpose[{{a, b, c}}].{{d, e,
f}}" is exactly same as palettes operation of (a, b, c)^t  (d, e, f) 
using "Hold" and "FullForm" functions.


A.ODA <a-oda at muj.biglobe.ne.jp>
Kawasaki, JAPAN



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