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Placeholders in matrix notation


I want to use the partial differential operator in matrix algebra. The function
it operates on would be in another matrix. 

Here, I am using "d" to represent the partial operator
{esc}pd{esc}{ctrl-_}x{ctrl-space}

[d   0] . Transpose[  f[x]|   g[x]  ]

But Mathematica won't let me do the matrix multiplication. How do you do that?

-D


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