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Related lectures (32)
Linear Algebra: Matrix Transformations and Determinants
Explores matrix transformations, coordinates calculation, and determinant properties in linear algebra.
Linear Algebra: Change of Basis Matrices
Explores change of basis matrices in linear algebra, emphasizing the importance of understanding matrix transformations between different bases.
Linear Algebra Basics: Matrix Representations and Transformations
Explores linear algebra basics, emphasizing matrix representations of transformations and the importance of choosing appropriate bases.
Linear Algebra: Matrix Operations and Basis
Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.
Linear Algebra in 3D: Determinants and Inverses
Explores determinants in 3D space and their role in linear algebra.
Linear Algebra in 3D: Images and Kernels
Explores linear applications in 3D, emphasizing images, kernels, and solution uniqueness in systems.
Linear algebra: systems of equations
Covers linear algebra, focusing on systems of equations and their solutions.
Linear Algebra: Systems of Equations
Explores solving systems of equations using matrices and determinants.
Linear Algebra Basics
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Covers the basics of linear algebra, including solving equations and understanding systems of linear equations graphically.
Singular Value Decomposition (SVD)
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Covers the Singular Value Decomposition (SVD) in detail, including properties of matrices and system linearity.
Matrix Operations: Linear Systems and Solutions
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Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.
Signals & Systems I: Preliminary Concepts and Linear Systems
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Covers preliminary concepts in signals and systems, including linear systems invariant in time and stability.
Linear Applications: Matrices and Transformations
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Covers linear applications, matrices, transformations, and the principle of superposition.
Linear Systems: Direct Methods
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Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.
Linear Algebra: Systems of Linear Equations
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Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.
Eigenvalues and Stability
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Explores eigenvalues, stability, eigenvectors, and error estimation techniques in linear systems.
Linear Algebra: Organization and Exercises
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Covers the organization of linear algebra course and exercises for civil engineering and environmental sciences students.
Eigenvalues and Eigenvectors
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Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.
Vector Spaces and Linear Applications
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Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.
Convex Optimization: Convex Functions
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Covers the concept of convex functions and their applications in optimization problems.
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