Solving Polynomial Equations: Basics and Applications

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

Explores matrix equivalence theorems for systems of equations and least squares solutions.

Examines conditions for the existence of invertible matrices satisfying specific matrix equations involving eigenvalues.

Covers the introduction to complex numbers and their properties, including historical background and norm calculation.

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

Covers the concept of the matrix of cofactors and a formula to calculate the inverse of a matrix.

Explores complex number properties, roots, and polynomial equations in the complex plane.

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

Covers LU factorization, determinants, subspaces, and matrix products.

Covers direct methods for solving linear systems in numerical analysis.