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Related lectures (14)
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Linear Functions and Systems of Equations
Explores linear functions, systems of equations, and geometric interpretations of solutions.
Galerkin Method: Applications and Formulation
Explores the Galerkin method's applications in solving structural problems with a focus on rigidity and forces.
Linear Algebra: Systems of Equations
Explores solving systems of equations using matrices and determinants.
Least Squares Solutions
Explains the concept of least squares solutions and their application in finding the closest solution to a system of equations.
Moore-Penrose Pseudoinverse
Covers the Moore-Penrose pseudoinverse and its properties for arbitrary matrices.
Linear Algebra: Systems of Equations
Covers matrix notation, linear equations, vector spaces, and applications of least squares.
Orthogonality and Least Squares Method
Explains matrix operations, orthogonality, and least squares method in solving linear equations.
Linear Independence: Solutions and Vectors
Covers the concept of linear independence and vectors in linear equations.
Properties of Determinants
Explains the common properties of determinants and their consequences.
Approximate Linearization
Explores approximate linearization as a versatile method for describing non-linear system behavior through linear approximation around an operating point.
Orthogonal Projections: Gram-Schmidt Method
Explores orthogonal projections and the Gram-Schmidt method for constructing bases.
Linear Systems and Vector Spaces
Explores homogeneous linear systems, solutions, independence, and vector spaces.
Linear Algebra: Linear Dependence and Independence
Explores linear dependence and independence of vectors in geometric spaces.
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