Canonical form

Related lectures (32)

Covers magnetic moments, Ampère's law, and Biot-Savart's law applications.

Introduces vector subspaces and canonical forms in polynomial spaces.

Explores isomorphic structures, base canonique, invertible elements, and constructing smallest sev in vector spaces.

Explores diagonalization through projectors and matrices of projection in relation to eigenvalues and eigenvectors.

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

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Explores changing the base of linear applications and calculating vector images in different bases, emphasizing the use of canonical basis.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores canonical equations for isolated systems, finding solutions and analyzing impulses.

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Explores constructing matrix transformations in IR4 using canonical bases and the importance of the equality [T]BB' = [id].

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