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Lecture
Linear Algebra: Inverse Matrix and Systems Resolution
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Related lectures (24)
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Elementary Matrices and Inverses
Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.
Matrix Operations: Linear Systems and Solutions
Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.
Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Linear Algebra: Applications and Matrices
Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.
Matrix Inversion
Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.
Generalization of Change of Basis Matrices
Covers linear algebra basics, including matrices, change of basis, and invertible matrices.
Linear Equations and Matrix Calculations
Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.
Diagonalizable Matrices: Properties and Examples
Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.
Invertibility Criteria and Inverse Calculation
Explores the criterion for matrix invertibility and the calculation of the inverse.
Diagonalization of Matrices: Theory and Examples
Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.