I want to multiply a list of matrices (with one row), like this:

lst <- list("111.2012"=matrix(c(1, 0, 6, NA, 1, 0),
                            nrow = 1, byrow = T),
          "112.2012"=matrix(c(6, 2, 2, 0, 3, NA),
                            nrow = 1, byrow = T))

with a vector like this (with the same length as each matrix):

vec <- c(1,2,3,1,2,3)

And expect this result:

$`111.2012`
     [,1] [,2] [,3] [,4] [,5] [,6]
[1,]    1    0   18   NA    2    0

$`112.2012`
     [,1] [,2] [,3] [,4] [,5] [,6]
[1,]    6    4    6    0    6   NA

I tried so far this:

mapply("*", lst, vec) 
Map("*", lst, vec)

Which gives me three times more numbers, and the wrong ones. I also thought of using lapply within mapply to address the list, but didn't know how to do it. Any suggestions? Thanks!