This this what you want?
> A=matrix(1:16,ncol=4)
> A
[,1] [,2] [,3] [,4]
[1,] 1 5 9 13
[2,] 2 6 10 14
[3,] 3 7 11 15
[4,] 4 8 12 16
> diag(A[1:4,4:1])
[1] 13 10 7 4
>
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