Det
From matlib v0.9.2
by Michael Friendly
Determinant of a Square Matrix
Returns the determinant of a square matrix X,
computed either by Gaussian elimination, expansion by cofactors, or as the product of the eigenvalues of the matrix.
If the latter, X must be symmetric.
Usage
Det(X, method = c("elimination", "eigenvalues", "cofactors"),
verbose = FALSE, fractions = FALSE, ...)Arguments
- X
a square matrix
- method
one of `"elimination"` (the default), `"eigenvalues"`, or `"cofactors"` (for computation by minors and cofactors)
- verbose
logical; if
TRUE, print intermediate steps- fractions
logical; if
TRUE, try to express non-integers as rational numbers- ...
arguments passed to
gaussianEliminationorEigen
Value
the determinant of X
See Also
det for the base R function
Other determinants: adjoint,
cofactor, minor,
rowCofactors, rowMinors
Examples
# NOT RUN {
A <- matrix(c(1,2,3,2,5,6,3,6,10), 3, 3) # nonsingular, symmetric
A
Det(A)
Det(A, verbose=TRUE, fractions=TRUE)
B <- matrix(1:9, 3, 3) # a singular matrix
B
Det(B)
C <- matrix(c(1, .5, .5, 1), 2, 2) # square, symmetric, nonsingular
Det(C)
Det(C, method="eigenvalues")
Det(C, method="cofactors")
# }
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