multiply two vectors, component by component [closed]
multiply two vectors, component by component [closed]
Would like to take two vectors and multiply components at the same index.For example a1, a2, a3 x b1, b2, b3 to produce a1 b1, a2 b2, a3 b3.
The following works, but are there some alternatives?
aMat = DiagonalMatrix[a1, a2, a3];
bMat = DiagonalMatrix[b1, b2, b3];
Diagonal @ Dot[aMat, bMat]
result: a1 b1, a2 b2, a3 b3
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a1,a2,a3*b1,b2,b3
1 Answer
1
No need to do anything fancy. This is just how ordinary list multiplication works:
a1, a2, a3 b1, b2, b3
yields
a1 b1, a2 b2, a3 b3
$begingroup$
thanks! didn't even think to try that.
$endgroup$
– user6546
Sep 8 '18 at 19:25
$begingroup$
a1,a2,a3*b1,b2,b3will give the required answer$endgroup$
– mikado
Sep 8 '18 at 19:22