Smith Normal Form

Related lectures (27)

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Explores injective and surjective linear transformations, kernel, image, and matrix operations.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Covers matrix invertibility, determining if a matrix is invertible, calculating its inverse, and elementary matrices.

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

Covers the definitions and properties of matrices, including matrix operations and determinants.

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

Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

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

Covers elementary row operations, row-equivalent matrices, row-echelon form, Gauss method, uniqueness of reduced form, and matrix rank.