Cayley-Menger determinant is a formula of a \(n\)-dimensional simplex
with respect to the squares of all pairwise distances of its vertices.
Arguments
- data
an \((n\times p)\) matrix of row-stacked observations.
Value
a list containing
- det
determinant value.
- vol
volume attained from the determinant.
Examples
## USE 'IRIS' DATASET
data(iris)
X = as.matrix(iris[,1:4])
## COMPUTE CAYLEY-MENGER DETERMINANT
# since k=4 < n=149, it should be zero.
cayleymenger(X)
#> $det
#> [1] 0
#>
#> $vol
#> [1] 0
#>