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Physics and Math Videos
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Advanced Complex Analysis - Part 1 (NPTEL):- Hurwitz's Theorem and Normal Limits of Univalent Functions
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Wrichik Basu
Date added
May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Local Constancy of Multiplicities of Assumed Values
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Open Mapping Theorem
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Introduction to the Inverse Function Theorem
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of the Proof of the Inverse Function Theorem: The Integral Inversion
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Univalent Analytic Functions have never-zero Derivatives and are Analytic Isomorphisms
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Introduction to the Implicit Function Theorem
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the Implicit Function Theorem: Topological Preliminaries
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the Implicit Function Theorem: The Integral Formula for & Analyticity
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Doing Complex Analysis on a Real Surface: The Idea of a Riemann Surface
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- F(z,w)=0 is naturally a Riemann Surface
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Constructing the Riemann Surface for the Complex Logarithm
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Constructing the Riemann Surface for the m-th root function
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Riemann Surface for the functional inverse of an analytic
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Algebraic nature of the functional inverses of an analytic
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Idea of a Direct Analytic Continuation or an Analytic Extension
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- General or Indirect Analytic Continuation and the Lipschitz Nature of the Radius
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Analytic Continuation Along Paths via Power Series - 1
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Analytic Continuation Along Paths via Power Series - 2
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Continuity of Coefficients occurring in Families of Power Series defining Analytic
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Analytic Continuability along Paths: Dependence on the Initial Function
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Maximal Domains of Direct and Indirect Analytic Continuation: Second
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Deducing the Second (Simply Connected) Version of the Monodromy Theorem
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):-Existence and Uniqueness of Analytic Continuations on Nearby Paths
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the First (Homotopy) Version of the Monodromy Theorem
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the Algebraic Nature of Analytic Branches of the Functional Inverse
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Mean-Value Property, Harmonic Functions and the Maximum Principle
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Proofs of Maximum Principles and Introduction to Schwarz's Lemma
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of Schwarz's Lemma and Uniqueness of Riemann Mappings
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Reducing Existence of Riemann Mappings to Hyperbolic Geometry of Sub-domains
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Differential or Infinitesimal Schwarz's Lemma, Pick's Lemma, Hyperbolic
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Wrichik Basu
Date added
May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Hyperbolic Geodesics for the Hyperbolic Metric on the Unit Disc
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Wrichik Basu
Date added
May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Schwarz-Pick Lemma for the Hyperbolic Metric on the Unit Disc
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Arzela-Ascoli Theorem: Under Uniform Boundedness, Equicontinuity and Uniform
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of the Proof of the Arzela-Ascoli Theorem and Introduction
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Proof of Montel's Theorem
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Candidate for a Riemann Mapping
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of Proof of The Riemann Mapping Theorem - 1
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of Proof of The Riemann Mapping Theorem - 2
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Wrichik Basu
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Ex: Determine a Value in a 3x3 Matrix To Make the Matrix Singular
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jedishrfu
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May 30, 2018
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Ex: Determine a Value in a 2x2 Matrix To Make the Matrix Singular
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jedishrfu
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May 30, 2018
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Ex: Determine if a 3x3 Matrix is Invertible (nonsingular) Using a Determinant
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jedishrfu
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May 30, 2018
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Ex: Determine if a 2x2 Matrix is Invertible (nonsingular) Using a Determinant
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May 30, 2018
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Ex: Find the Area of a Triangle on the Coordinate Plane Using a Determinant
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jedishrfu
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May 30, 2018
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Area Using Determinants
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jedishrfu
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May 30, 2018
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Ex: Solve a System of Three Equations Using Cramer's Rule
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jedishrfu
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May 30, 2018
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Ex: Solve a System of Two Equations Using Cramer's Rule
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jedishrfu
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May 30, 2018
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Cramer’s Rule
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jedishrfu
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May 30, 2018
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Determinants on the Graphing Calculator
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jedishrfu
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May 30, 2018
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Ex: Find the Value of a 4x4 Determinant Using Cofactor Expansion (with Zeros)
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jedishrfu
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May 30, 2018
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Ex: Find a 3x3 Determinant using Cofactor Expansion on Row 3
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May 30, 2018
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Ex: Find a 3x3 Determinant using Cofactor Expansion on Row 2
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jedishrfu
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May 30, 2018
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Ex 2: Determinant of 3x3 Matrix - Cofactor Method
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jedishrfu
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May 30, 2018
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Ex 1: Determinant of 3x3 Matrix - Cofactor Method
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jedishrfu
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May 30, 2018
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Ex 2: Determinant of 3x3 Matrix - Diagonal Method
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Ex 1: Determinant of 3x3 Matrix - Diagonal Method
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jedishrfu
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Ex: Solve an Equation Involving a Determinant
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jedishrfu
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May 30, 2018
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Ex: Determinant of a 2x2 Matrix
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jedishrfu
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Determinants
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jedishrfu
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Perform Linear Regression Using Matrices
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jedishrfu
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May 30, 2018
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Solve a System of Linear Equations Using LU Decomposition
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jedishrfu
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May 30, 2018
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LU Decomposition - Shortcut
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jedishrfu
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May 30, 2018
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LU Decomposition Using Elementary Matrices
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jedishrfu
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May 30, 2018
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Ex: Solve a System of Three Equations Using a Matrix Equation
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jedishrfu
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May 30, 2018
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Ex 2: Solve a System of Two Equations Using a Matrix Equation
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jedishrfu
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May 30, 2018
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Ex 1: Solve a System of Two Equations Using a Matrix Equation
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Matrix Equations
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Ex: Solve the Matrix Equation AX=B (3x3)
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jedishrfu
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Ex 2: Solve the Matrix Equation AX=B (2x2)
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jedishrfu
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Ex 1: Solve the Matrix Equation AX=B (2x2)
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jedishrfu
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Inverse Matrices on the Graphing Calculator
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jedishrfu
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May 30, 2018
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Ex 2: Inverse of a 3x3 Matrix Using an Augmented Matrix
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jedishrfu
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May 30, 2018
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Ex 1: Inverse of a 3x3 Matrix Using an Augmented Matrix
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jedishrfu
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Ex: Inverse of a 2x2 Matrix Using an Augmented Matrix
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Ex: Find the Inverse of a 2x2 Matrix Using a Formula
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jedishrfu
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Inverse Matrices Using Augmented Matrices
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2 x 2 Inverse Matrix Formula
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LU Decomposition - Shortcut
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jedishrfu
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LU Decomposition Using Elementary Matrices
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May 30, 2018
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Elementary Matrices
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The Identity Matrix
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Ex: Inverse of a 2x2 Matrix Using an Augmented Matrix
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Ex: Find the Inverse of a 2x2 Matrix Using a Formula
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jedishrfu
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Inverse Matrices Using Augmented Matrices
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jedishrfu
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2 x 2 Inverse Matrix Formula
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jedishrfu
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LU Decomposition - Shortcut
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LU Decomposition Using Elementary Matrices
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Elementary Matrices
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The Identity Matrix
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Animation: Matrix Multiplication
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Ex Applicaton of Matrix Multiplication - Transformation
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Ex 3: Matrix Multiplication (3x2)*(2x3)
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Ex 2: Matrix Multiplication (2x3)*(3x2)
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Ex 1: Matrix Multiplication (Basic)
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Matrix Multiplication on the Graphing Calculator
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Ex: Square a 2x2 Matrix
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Ex: Matrix Multiplication (2x3)*(3x4)
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Ex: Matrix Multiplication (2x2)*(2x2)
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Ex: Solve a Basic Matrix Equation (No Inverse)
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Ex: Determine if Matrix Multiplication is Possible
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