Hermite Normal Form

Related lectures (27)

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

Explains matrix transformation in different bases and how to find the new matrix.

Covers the method of inverting a matrix by diagonalization and calculating determinants.

Explores matrix transformations, coordinates calculation, and determinant properties in linear algebra.

Covers the composition and product of matrices, including matrix multiplication.

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

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

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

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

Covers matrix transposition, rank, and basis change in linear algebra, exploring invertibility criteria and basis relationships.