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Lecture
Determinant Calculation
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Related lectures (27)
Row-echelon and reduced row-echelon matrices
MOOC: Warm-up for EPFL
MOOC: Linear Algebra (Part 1)
Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.
Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Invertibility Criterion
MOOC: Linear Algebra (Part 2)
Explores the criterion of invertibility based on the determinant of a matrix.
Matrix Operations: Definitions and Properties
Covers the definitions and properties of matrices, including matrix operations and determinants.
Matrix Operations: LU Factorization & Subspace Vector
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Covers LU factorization, determinants, subspaces, and matrix products.
Matrix Operations: Determinants and Vector Spaces
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Covers strategies for matrix operations and the concept of vector spaces.
Linear Algebra: Matrix Operations
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Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.
Matrix Transformations: Elementary Row Operations
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Covers elementary row operations, row-equivalent matrices, row-echelon form, Gauss method, uniqueness of reduced form, and matrix rank.
Linear Systems and Vector Algebra
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Covers the resolution of linear systems, matrix operations, echelon forms, and reduced echelon forms.
Calculs and Algorithms for Determinant
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Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.
Linear Algebra: Introduction and Systems of Equations
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Covers the basics of linear algebra and systems of equations with exercises and IT tools for support.
Matrix Operations: Multiplication and Inverses
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Explores matrix multiplication, inverses, transposition, and determinants in linear algebra.
Strategies for Determinant Calculation
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Covers strategies for calculating determinants and their geometric interpretation in various dimensions.
Matrix Operations: Definitions and Properties
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Covers matrix operations, definitions, properties, and vector operations in Rn, essential for understanding linear algebra concepts.
Linear Equations and Matrix Calculations
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Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.
Linear Algebra Basics
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Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.
Linear Algebra: Elementary Row Operations
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Covers elementary row operations, equivalent matrices, invertibility, and bases in linear algebra.
Determinants and Row Echelon Form
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Covers determinants, row echelon form, properties, and geometric interpretation of determinants.
Characteristic Polynomials and Similar Matrices
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Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Linear Algebra: Matrix Operations
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Covers matrix operations in linear algebra, including determinants and row operations.
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