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Related lectures (27)
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Matrix Operations: Definitions and Properties
Covers the definitions and properties of matrices, including matrix operations and determinants.
Calculs and Algorithms for Determinant
Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.
Matrix Representations: Linear Maps
Explores matrix representations of linear maps and their invariance, using examples and special cases.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Elementary Matrices and Inverses
Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.
Linear Algebra: Inversion and Uniqueness
Covers matrix inversion and uniqueness in linear algebra, providing examples and verification methods.
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Matrix Representations of Linear Applications
Covers the matrix representations of linear applications and the equivalence between matrices.