Permutation matrix

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Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Explores algebraic graph theory applied to networked control systems and consensus algorithms.

Explores distributed algorithms for networked control systems, covering consensus, least-squares regression, and time-varying communication networks.

Explores consensus algorithms in digraphs, focusing on scenarios where the digraph is not strongly connected.

Covers matrix notation, arithmetic, multiplication, algorithms, and complexity of matrix multiplication.

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

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

Covers preservation, substitution, weakening, and sequencing in type systems.

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.