Lectures related to Consistent and inconsistent equations

Covers linear equations, systems of linear equations, and matrices, including Gaussian elimination.

Explores binary spiked matrix estimation, analyzing consistent equations and Bayesian estimators.

Explores solving systems of equations using matrices and determinants.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Explores operations and applications of linear algebra in solving equations and transformations.

Covers Cramer's Rule for solving linear equations using determinants.

Explores systems of equations, vector operations, and geometric interpretations in linear algebra.

Explores linear systems solutions, vector equations, and equality between vectors.

Explores linear functions, systems of equations, and geometric interpretations of solutions.

Explores the definition and properties of vector subspaces in linear algebra.

Explores area determination, linear applications, matrix operations, and vector spaces.

Explores solving systems of equations with parameters to find different types of solutions.

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

Covers the principles of regression and linear systems, focusing on iterative methods.

Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.

Covers the basics of linear algebra, including solving equations and understanding systems of linear equations graphically.

Covers the Cartesian equations of lines in space and their directional properties.

Covers the key concepts behind the Finite Element Method and its applications in linear statics.

Covers the basics of linear algebra and systems of equations with exercises and IT tools for support.