matrixMultiply
Brad Allen
BradAllen at mac.com
Sat Sep 21 18:30:01 EDT 2002
>If I remember correctly from my Linear Algebra
>classes, in order to multiply two arrays, their
>dimensions have to be such that the first dimension of
>the second array equals the second dimension of the
>first array, so they should be of the sort:
> Array1 [m x n] and Array2 [n x p]
>which means that, in this case, as it's not a square
>array, it can't multiply it with itself.
>Try again wih a square array.
Thanks! Now it all makes sense and works the way it should.
Another question about matrixMultiply in Rev: According to the entry
in the Transcript dictionary for the operator "*", we should be able
to multiply matrices by using the * operator instead of the
matrixMultiply() function. I'm trying it with a 4 x 4 array, so it
should work, but using the * operator yields different results from
matrix multiply.
Here's the example I'm using. The following text is read into a 4 x 4
array variable with numeric keys, named outputArray
1 0 1 1
1 1 0 0
1 0 1 0
0 1 1 0
Next, I want to multiply this array by itself:
put outputArray * outputArray into productArray
or
put matrixMultiply(outputArray,outputArray) into productArray
The first example, using * yields an incorrect answer:
1 0 1 1
1 1 0 0
1 0 1 0
0 1 1 0
The second, using matrixMultiply yields the correct answer:
2 1 3 1
2 1 1 1
2 0 2 1
2 1 1 0
So, why didn't the * operator produce the correct answer? It did
work, for the simpler case of multiplying a number times a matrix,
but not for a matrix times a matrix.
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