det calculates the determinant of a matrix. determinant
is a generic function that returns separately the modulus of the determinant,
optionally on the logarithm scale, and the sign of the determinant.
Usage
det(x, ...)
determinant(x, logarithm = TRUE, ...)
Arguments
x
numeric matrix: logical matrices are coerced to numeric.
logarithm
logical; if TRUE (default) return the
logarithm of the modulus of the determinant.
...
Optional arguments. At present none are used. Previous
versions of det allowed an optional method argument.
This argument will be ignored but will not produce an error.
Value
For det, the determinant of x. For determinant, a
list with components
modulus
a numeric value. The modulus (absolute value) of the
determinant if logarithm is FALSE; otherwise the
logarithm of the modulus.
sign
integer; either $+1$ or $-1$ according to whether
the determinant is positive or negative.
Details
The determinant function uses an LU decomposition and the
det function is simply a wrapper around a call to
determinant.
Often, computing the determinant is not what you should be doing
to solve a given problem.