Multiple Vector with matrix in R

Hi

Can someone show me an easy way to multiple a weighted vector with an
matrix?

example below
mat1<-matrix(sample(1:100,80,replace=TRUE),ncol=8)
w <- 1/1:10

I want the first element in w to be multiplied by the first row of mat1 and
2nd element in w to be multiplied with the 2nd row and so on.

I have huge matrix is there an easy way other than diag(w)%*%mat1

Thanks



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