RConics (version 1.0)

skewSymmetricMatrix: \((3 \times 3)\) skew symmetric matrix

Description

Return a \((3 \times 3)\) skew symmetric matrix from three parameters \((\lambda, \mu, \tau)\).

Usage

skewSymmetricMatrix(p)

Arguments

p

a \((3 \times 1)\) vector \((\lambda, \mu, \tau)\).

Value

A \((3 \times 3)\) skew symmetric matrix, with :

• \(A_{1,2} = -A_{2,1} = \tau\)

• \(-A_{1,3} = A_{3,1} = \mu\)

• \(A_{3,2} = -A_{2,3} = \lambda\)

References

Richter-Gebert, J<U+00FC>rgen (2011). Perspectives on Projective Geometry - A Guided Tour Through Real and Complex Geometry, Springer, Berlin, ISBN: 978-3-642-17285-4

Examples

# NOT RUN {
p <- c(3,7,11)
skewSymmetricMatrix(p)
# }