Plücker matrix

The Plücker matrix is a mathematical construct used in projective geometry and algebraic geometry, particularly in the context of analyzing lines in three-dimensional space. It is named after Julius Plücker, a 19th-century mathematician who contributed significantly to the field. In the context of lines in \(\mathbb{R}^3\), a line can be represented by a pair of points or by a direction vector along with a point through which the line passes.