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A vector sorting by value in R

I'm trying to sort a vector where

a = c(12,44,53,39,2) 

Expected output is index with its associated values - high to low

 3  2  4  1  5
53 44 39 12  2
`names<-`(sort(a,T),match(sort(a,T), a))
# 3  2  4  1  5 
#53 44 39 12  2 
sort(a, index.return=T, decreasing=T)$ix
# [1] 3 2 4 1 5

Or in matrix from (compliments of @RichardScriven and @PierreLafortune)

do.call(rbind, sort(a, index.return=TRUE, decreasing=TRUE))[2:1,]
#     [,1] [,2] [,3] [,4] [,5]
# ix    3    2    4    1    5
# x    53   44   39   12    2

and compactly, in data.frame

data.frame(sort(a, T, index=T))
#    x ix
# 1 53  3
# 2 44  2
# 3 39  4
# 4 12  1
# 5  2  5
a = c(12,44,53,39,2)

sort(a,decreasing =TRUE)  # v1=Sorting variable as descending order
#[1] 53 44 39 12  2

match(sort(a,decreasing =TRUE),a) # v2 = Matching with previous position 
#[1] 3 2 4 1 5

df<-data.frame(v1=sort(a,decreasing =TRUE),v2=match(sort(a,decreasing =TRUE),a))

#   v1 v2
# 1 53  3
# 2 44  2
# 3 39  4
# 4 12  1
# 5  2  5

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