I believe it is possible, but R is not really a full-fledged symbolic algebra 
system so it wouldn't be an intuitive tool to use and what would you do with it 
once you had it? It is much more useful in R to do something like

f1 <- function( M, A, B, C ) {
    M %*% c( A, B, C )
}

m <- matrix( c( 1,0,-1,0,1,2,0,0,1 ), ncol=3 )
f1( m, 3, 4, 5 )
#      [,1]
# [1,]    3
# [2,]    4
# [3,]   10

which manipulates numeric values according to your definition.

For future reference... Please post on this list using plain text format... 
your email was a pain to decipher.
---------------------------------------------------------------------------
Jeff Newmiller                        The     .....       .....  Go Live...
DCN:<jdnew...@dcn.davis.ca.us>        Basics: ##.#.       ##.#.  Live Go...
                                      Live:   OO#.. Dead: OO#..  Playing
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Sent from my phone. Please excuse my brevity.

On October 31, 2015 8:52:51 AM PDT, Judson <judsonbl...@msn.com> wrote:
>
>
>Is
>there a way to multiply a matrix 
>
>times
>a vector of symbols?  
>
>For
>instance, could I do this: 
>
>1       
>0       0                          a
>
>0        1      
>0      times           b
>
>-1       2      
>1                          c                
>
> 
>
>which
>should result in :  
>
>                                                      a
>
>                                                      b
>
>                                                      c  �a 
>-2*b 
>where a, b, and c 
>
>are
>as yet not assigned numeric values?  
>
>........................... judson blake
>
>
>                                         
>       [[alternative HTML version deleted]]
>
>
>
>------------------------------------------------------------------------
>
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