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Lecture
Matrix Operations: Addition and Transposition
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Matrix Operations: Definitions and Examples
Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.
Symmetric and Anti-symmetric Matrices
Introduces symmetric and anti-symmetric matrices, matrix powers, inverses, elementary matrices, and matrix manipulation.
Elementary Matrices and Inverses
Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.
Linear equations and matrices
Covers linear equations, characteristic polynomials, solutions, and matrices with operations like addition and multiplication.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.