skewSymmetricMatrix: (3 \times 3) skew symmetric matrix

In RConics: Computations on Conics

(3 \times 3) skew symmetric matrix

Description

Return a (3 \times 3) skew symmetric matrix from three parameters (λ, μ, τ).

Usage

skewSymmetricMatrix(p)

Arguments

p	a (3 \times 1) vector (λ, μ, τ)

Value

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

• A_{1,2} = -A_{2,1} = τ

• -A_{1,3} = A_{3,1} = μ

• A_{3,2} = -A_{2,3} = λ

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)

RConics documentation built on March 18, 2022, 5:33 p.m.