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Related lectures (25)
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Calculs and Algorithms for Determinant
Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.
Matrix Operations: Composition and Product
Covers the composition and product of matrices, including matrix multiplication.
Matrix Equivalence Theorems
Explores matrix equivalence theorems for systems of equations and least squares solutions.
Matrix Inversion: Basics and Properties
Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.
Matrix Multiplication: Basics and Properties
Covers the basics of matrix multiplication, including properties and examples.
Matrix Form and IO Analysis
Covers Material Flow Analysis in matrix form and Input-Output Analysis, exploring balance equations, transfer coefficients, GHG emissions, and economic impact.
Density Operator: Matrix to the System State
Explores density operator matrix transformation in quantum physics and the implications of measuring the system, leading to state collapse.
Linear Algebra: Inverse Matrix and Systems Resolution
Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.
Linear Algebra: Inversion and Uniqueness
Covers matrix inversion and uniqueness in linear algebra, providing examples and verification methods.
Exponential of a Matrix
Explores the exponential of a matrix, properties, Frobenius norm, nilpotent matrices, commutativity, and system solutions.