Linear Transformations in 3D

Related lectures (30)

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Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Covers the definition of linear applications in IR³ to R³ and explores examples and properties.

Covers the basics of linear mapping and coordinate systems.

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Explores forming bases, dependencies, and relationships in linear applications using invertible matrices and canonical bases.

Explores linear transformations, matrices, injective and surjective functions, and their applications.

Revisits bases of the image and kernel in linear algebra, focusing on linear transformations between finite-dimensional vector spaces.

Explores the special linear group, matrix properties, and determinant theorems.

Explores projections in R³, matrix properties, and trace concepts with practical examples.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.