Matrix Transformation: Canonical Basis

Related lectures (30)

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Explores base changes, bijective linear applications, matrix transformations, and dimensions of kernel and image spaces.

Covers the Hermite Normal Form, a method to transform a matrix into a specific form.

Explores canonical forms of matrices, matrix products, and linear applications in vector spaces.

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

Covers the basics of linear mapping and coordinate systems.

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Explains linear independence, basis, and matrix rank with examples and exercises.

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

Explores LU decomposition for matrix factorization and solving linear systems.