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You could try: transform[a_] := Map[Flatten] @* Transpose @* Map[p |-> Partition[p, Dimensions[a][[1]]]]@a Though, for larger matrices it wouldn't perform well. For starters, the composite `@*` operator is not too fast nor does invoking...
Lazy evaluation is quite handy in optimising interactive code like `Manipulate` when you don't want to compute a whole set of data anew prior to the start of `Manipulate` or at every "refresh".
Oops, didn't read the first response well enough.