Lectures related to Solving Polynomial Equations: Basics and Applications

Covers the definition of 3x3 matrices, determinants, matrix operations, and invertibility.

Covers matrix eigenvalues, eigenvectors, and their linear independence.

Covers matrix inversion and uniqueness in linear algebra, providing examples and verification methods.

Explores efficient determinant calculations using triangular matrices and specific row/column selections for simplification.

Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.

Covers matrix operations, coefficients, combinations, and applications in various scenarios.

Explores upper triangular block matrices, invertibility, elementary transformations, and determinants with examples.