Geometric algebra

Related lectures (32)

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Covers translations, homotheties, and geometric transformations using vectors and matrices.

Covers the geometric properties of the dot product and its algebraic aspects.

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Covers the concept of 2D rotations and their analytical expressions.

Explores AI4Science at Microsoft, focusing on catalyst design, reaction mechanisms, and material discovery using Clifford algebra.

Explores the geometric interpretation of determinants in R2 and R3 vector spaces.

Covers translations, homotheties, and their geometric properties, including reversibility and composition.

Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.

Covers hyperstatic structures, pre-stressed structures, and limitations of geometric linearity.

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.