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Related lectures (27)
Matrix Multiplication
Covers matrix multiplication, properties, and the identity matrix in algebraic operations.
Linear Combinations and Vector Spaces
Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.
Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Recap of Group Theory
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Element-Wise Operations
Covers element-wise operations in MATLAB and Octave using matrices and vectors.
Matrix Calculus
Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.
Linear Algebra in 3D: Matrices and Determinants
Covers linear algebra in three dimensions, focusing on matrices and determinants.
Linear Algebra: Matrices and Operations
Covers the basics of linear algebra, focusing on matrices and operations.
Complex Numbers and 2x2 Matrices
Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.
Vector Spaces: Properties and Operations
Covers the properties and operations of vector spaces, including addition and scalar multiplication.
Linear Algebra: Matrices and Operations
Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.
Linear Equations and Matrices: Solution Methods, Elementary Operations
Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.
Matrix Operations: Definitions and Properties
Covers the definitions and properties of matrices, including matrix operations and determinants.
Matrix Multiplication: Applications and Properties
Covers matrix multiplication, properties, and inverses in linear algebra.
Block Decomposition
Covers the concept of block decomposition in linear algebra, illustrating how matrices can be divided and manipulated using block structures.
Fundamental Properties of Determinant
Explores the fundamental properties of determinants, including left vs. right multiplication and the Sarrus rule for 3x3 matrices.
Matrix Multiplication: Algorithms and Complexity
Covers matrix notation, arithmetic, multiplication algorithms, and complexity analysis.
Important Examples: Operations and Multiplication
Covers important examples related to operations and multiplication in real vector spaces.
Linear Algebra: Matrix Operations
Covers matrix operations and their applications in various fields.
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