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Lecture
Matrix operations: Basics and Manipulation
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Related lectures (28)
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Matrix Operations: Rules and Applications
Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.
Symmetric Matrices: Diagonalization
Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.
Matrix Multiplication: Applications and Properties
Covers matrix multiplication, properties, and inverses in linear algebra.
SVD: Singular Value Decomposition
Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Linear Algebra Review
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Matrix Operations: Theorems and Applications
Covers matrix operations and properties of matrices, including symmetric and anti-symmetric matrices.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Linear Applications and Matrix Calculus
Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.
Linear Algebra: Basis and Matrices
Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.