Lectures related to Matrix Representation: Circuit Equations

Covers peak, mean, and rms values, average power, phase advance, and sinusoidal circuits.

Superposition Principle: Circuits Analysis

Covers the superposition principle in circuit analysis, simplifying complex circuits for easier evaluation through individual component analysis and result summation.

Linear Independence and Basis

Explains linear independence, basis, and matrix rank with examples and exercises.

Linear Algebra: Matrices and Vector Spaces

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Linear Algebra: Subspaces and Transformations

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Electrotechnique: Basics and Applications

Covers the basics of electrotechnique, including linear elements, current regimes, power types, and practical applications.

Electrotechnique: Basics and Applications

Covers the basics of electrotechnique, including linear elements, regimes, power types, and practical applications.

Fundamental Theorems of Circuits and Systems

Explores fundamental theorems of circuits, superposition, source substitution, and Thévenin and Norton equivalents.

Linear Combinations: Vectors and Matrices

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Linear Algebra: Matrix Operations

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

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Linear Algebra: Applications and Matrices

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.

Characterization of Invertible Matrices

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

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Linear Applications: Basis and Independence

Covers linear independence, bases of vectors, and solving systems using matrices.

Linear Equations and Vector Spaces

Explores solutions of linear equations, null spaces, subspaces, vector spaces, linear independence, bases, and dimensions.

Linear Algebra Review: Vector Spaces and Matrix Operations

Offers a quick review of key linear algebra concepts essential for further topics.

Kernel, Image and Linear Maps

Explains kernel, image, and linear maps, illustrating concepts with examples.

Linear Combinations and Basis Characterization

Explores linear combinations, basis determination, and vector space dimensionality through practical examples and exercises.

Finite Element Method: Quadrangular Elements

Explores basic functions and criteria in quadrangular finite elements using the finite element method.