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How do you get rid of for-loops with arrays

I have tried to understand how to use the arrays in IDL but
there is still tons of techniques that I don't know...

Is it possible to do this without for-loops?

a = [[1,2,3],[4,5,6]]
b = [2,2,3]

for i=0,1 do a[*,i] = a[*,i] * b