MathGroup Archive 1998

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Row & Column Vectors, Dot & Outer Products, Revisited

One of the recent Mathetmatica 3.0 books (sorry, don't have it at hand,
so can't credit it properly), points out that if you define row vectors
in the form


and column vectors in the form


(note the extra curly brackets in both cases), then both the dot
product, namely,

      dotProduct = rowVector . columnVector;

and the outer product, e.g.,

      outerProduct = columnVector . rowVector;

will work exactly as you expect them to.  Can't say how far this can be
extended into more complex tensor situations, however -- or how much
trouble you'll run into getting rid of the extra brackets in subsequent

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