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Multiplying a vector over multiple vectors

• To: mathgroup at smc.vnet.net
• Subject: [mg91150] Multiplying a vector over multiple vectors
• From: Donald DuBois <donabc at comcast.net>
• Date: Thu, 7 Aug 2008 04:42:07 -0400 (EDT)

How does one get a vector to distribute over
a list of vectors  under multiplication?

For example:

 {{1,2}, {3,4}, {5,6}} times {a,b} should
equal  (under this operation)

{{a, 2b}, {3a, 4b}, {5a, 6b}}

If {a,b} is duplicated three times one can
use MapThread as in: 

MapThread[Times, {{{1, 2}, {3, 4}, {5, 6}}, {{a, b}, {a, b}, {a, b}}}]

but duplicating {a,b} using Table is very slow
when the vectors are large (consisting of thousands
of elemets).

Thanks in advance for any help you can give me.

Don

• Follow-Ups:
  • Re: Multiplying a vector over multiple vectors
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Multiplying a vector over multiple vectors
    • From: Oliver Ruebenkoenig <ruebenko@wolfram.com>
  • Re: Multiplying a vector over multiple vectors
    • From: Sseziwa Mukasa <mukasa@jeol.com>