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Lecture
Reducing an Application
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Related lectures (26)
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Matrix Reduction: Part 1
Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.
Diagonalization of Linear Transformations
Covers the diagonalization of linear transformations in R^3, exploring properties and examples.
Linear Algebra: Reduction of Linear Application
Covers the reduction of a linear application and finding corresponding reduced forms and bases.
Linear Transformations: Matrices and Kernels
Covers linear transformations, matrices, kernels, and properties of invertible matrices.
Linear Algebra: Canonical Basis and Eigenvalues
Explores canonical basis, linear mapping, and eigenvalues in linear algebra.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Diagonalizable Matrices: Properties and Examples
Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.
Diagonalization of Matrices: Theory and Examples
Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.
Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.