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Smith Normal Form
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Related lectures (27)
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Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Linear Algebra: Matrix Operations
Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.
Matrix Exponential and Jordan Normal Form
Covers the matrix exponential, its convergence properties, and the Jordan normal form.
Matrix Operations: Composition and Product
Covers the composition and product of matrices, including matrix multiplication.
Matrix Multiplication: Applications and Properties
Covers matrix multiplication, properties, and inverses in linear algebra.
Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Matrix Operations: Inverse and Reduction to Echelon Form
Covers matrix operations and reduction to echelon form with practical examples.
Projections and Applications
Explores projections in R³, matrix properties, and trace concepts with practical examples.
Numerical Analysis: Direct Methods for Linear Systems
Covers direct methods for solving linear systems in numerical analysis.