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Lecture
Multiplications of vectors and matrices
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Matrix Multiplication: Basics and Properties
Covers the basics of matrix multiplication, including properties and examples.
Matrix Operations: Theorems and Applications
Covers matrix operations and properties of matrices, including symmetric and anti-symmetric matrices.
Vector Spaces: Properties and Operations
Covers the properties and operations of vector spaces, including addition and scalar multiplication.
Matrix Operations: Definitions and Properties
Covers the definitions and properties of matrices, including matrix operations and determinants.
Linear Combinations: Vectors and Matrices
Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.
Matrix Operations: Definitions and Theorems
Explores matrix operations, coefficients, multiplication properties, and the power of matrices.
Linear Applications: Matrices and Transformations
Covers linear applications, matrices, injectivity, surjectivity, and matrix multiplication properties.
Matrix Chain Multiplication: Optimal Substructure and Recursive Formula
Explores optimal substructure and recursive formula in matrix chain multiplication using dynamic programming.
Linear Algebra: Basis and Matrices
Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.