How to element by element multiply all rows of a matrix in a loop?

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I've written a function which generates an (a x b) matrix where a,b are both inputted quantities. After I've generated this matrix I'd like to multiply all of the rows in the matrix element by element. So I'd be going from an (a x b) matrix to a (1 x b) array. For example: If the (a x b) matrix was [1 2 3; 4 5 6; 7 8 9; 10 11 12] a = 4, b = 3. The (1 x b) array I'd like to end up with would be [1*4*7*10 2*5*8*11 3*6*9*12] = [280 880 1944]. Any ideas on a quick and easy way to generate this (1 x b) array?
Thanks!

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Star Strider
Star Strider 2014-9-12
This works:
M = [1 2 3; 4 5 6; 7 8 9; 10 11 12];
r = prod(M)

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