Elemtwise product of a matrix and a vector with one common dimmension

I would like to do something like this Let say I have a matrix A of size 3x4
A =
0 1 2 3
1 0 0 0
5 0 1 0
and a vector v of size 3x1
v =
3
5
2
there is any way that I can produce an elementwise product as:
A v =
3*[ 0 1 2 3] 0 3 6 9
5*[ 1 0 0 0]= 5 0 0 0
2*[ 5 0 1 0] 10 0 2 0
without a loop?

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