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Lecture
Matrix Operations: Properties and Applications
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Related lectures (28)
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Matrix Operations: Definitions and Examples
Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Matrix Equations: Finding Free Variables
Explains how to find free variables in matrix equations and analyze characteristic polynomials.
Linear Equations and Matrix Calculations
Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.
Matrix Operations: Multiplication and Identity
Covers matrix operations in Python, focusing on multiplication and identity matrix generation.
Matrix Multiplication
Covers matrix multiplication, properties, and the identity matrix in algebraic operations.
Matrix Operations: Rules and Applications
Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.
Determinant of a Matrix
Covers the properties and calculations of the determinant of a matrix.
Matrix Operations: Multiplication and Inverses
Explores matrix multiplication, inverses, transposition, and determinants in linear algebra.
Matrix Norms and Exponential Functions: Key Properties
Covers the definition and properties of matrix norms and the exponential of matrices.