skewSymmetricMatrix {RConics}

(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

Source

Richter-Gebert, Jürgen (2011). Perspectives on Projective Geometry - A Guided Tour Through Real and Complex Geometry, Springer, Berlin, ISBN: 978-3-642-17285-4

Examples

p <- c(3,7,11)
skewSymmetricMatrix(p)