Gauss-Jordan Method

Related lectures (30)

Page 3 of 3

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Covers linear applications, matrices, transformations, and the principle of superposition.

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

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

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

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

Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.

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

Covers matrix invertibility, determining if a matrix is invertible, calculating its inverse, and elementary matrices.

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