R Under development (unstable) (2023-11-08 r85496 ucrt) -- "Unsuffered Consequences"
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> ##
> ##  r a n k . r  Test suite
> ##
> 
> 
> Rank <- pracma::Rank
> nullspace <- pracma::nullspace
> 
> magic <- pracma::magic
> all.equal(Rank(c()), 0)
[1] TRUE
> r <- numeric(8)
> for (i in 3:10){
+     r[i-2] <- Rank(magic(i))
+ }
> identical(r, c(3, 3, 5, 5, 7, 3, 9, 7))
[1] TRUE
> 
> hilb <- pracma::hilb
> identical(Rank(hilb(6)), 6L)
[1] TRUE
> 
> # Vorzeichenwechsel moeglich
> # N <- nullspace(magic(4))
> # all.equal(as.numeric(N), c(0.2236, 0.6708, -0.6708, -0.2236),
> #           tolerance = 1e-5)
> 
> proc.time()
   user  system elapsed 
   0.12    0.06    0.17