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Matrix as a variable

• To: mathgroup at smc.vnet.net
• Subject: [mg38789] Matrix as a variable
• From: smellykitkat at yahoo.com (Phoebe)
• Date: Sun, 12 Jan 2003 06:17:24 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

This is a simple question... but couldn't find the answer.


I am trying to solve some symbolic matrix equations.
Take a==b.c

where 
a is 2x1 unknowns

b \!\(\*FormBox[
  RowBox[{"b", "=", 
    RowBox[{"(", GridBox[{
          {"1", "2"},
          {"3", "4"}
          }], ")"}]}], TraditionalForm]\)

and c us 2x1 unknown.

Is it possible to tell mathematica that a and c are matrix variables?

and have a statement SolveEquation[a == b.c, c[[1]]].

with out putting variables in each of the matrix elements 
as in 
\!\(\*FormBox[
  RowBox[{"a", "=", 
    RowBox[{"(", GridBox[{
          {"x"},
          {"y"}
          }], ")"}]}], TraditionalForm]\)

\!\(\*FormBox[
  RowBox[{"c", "=", 
    RowBox[{"(", GridBox[{
          {"e"},
          {"f"}
          }], ")"}]}], TraditionalForm]\)


, SolveEquation[a == b.c, e].

Thanks