Linear Systems and Vector Algebra

Related lectures (31)

Page 3 of 4

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers the resolution of linear systems using the Gauss method to determine unique, infinite, or no solutions.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers elementary row operations, equivalent matrices, invertibility, and bases in linear algebra.

Covers direct methods for solving linear systems in numerical analysis.

Covers elementary transformations of matrices and the concept of line-equivalence.

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.

Explores the criterion for matrix invertibility and the calculation of the inverse.

Explores linear equations, matrices, and the Gauss-Jordan algorithm for efficient system solving.

Explains Gaussian elimination and LU factorization for solving linear systems of equations.