9 docs tagged with "linear algebra"

An Antisymmetric Matrix or Skew Symmetric Matrix is a matrix where its cross-diagonal entries are negated, that is

Derivation of the lookAt view matrix in OpenGL, from linear algebra fundamentals to geometric interpretation of rotational and translational components.

Let $B = \{\vec, \vec{b2}, \ldots, \vec{b_n}\}$ be a basis for the vector space $V = \mathbb{R}^n$.

A detailed mathematical derivation of the orthographic and perspective projection matrices, explaining the transformation from camera space to clip space to NDC in the OpenGL pipeline.

Mathematical foundations for model matrices through change-of-coordinates theory, equivalence proofs.

Mathematical foundations for model matrices through change-of-coordinates theory, equivalence proofs.

Let $\boldsymbol$ and $\boldsymbol{B}$ be $n \times 1$-matrices.

Rotations as a Special Case of Vector Transformations, with Applications to Game World Modeling

The Geometry of the Dot Product and Applications to Visibility Modeling