Complex Numbers: Notations and Operations

Related lectures (24)

Page 2 of 3

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

Covers the Singular Value Decomposition theorem and its application in decomposing matrices.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores the reduction of a linear transformation with a single real eigenvalue.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explores complex numbers, including modulus, conjugation, and Euler formula.

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.

Explores Theorem 7.6 on the rank of the dual map in linear applications and delves into matrices and scalar matrices.

Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.