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Invidious > Channel > MathTheBeautiful

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YT 14 minutes 57 seconds MathTheBeautiful Introducing the Inner Product - A Fundamental Concept in Linear Algebra YT 12 minutes 50 seconds MathTheBeautiful Review of the Dot Product YT 15 minutes 30 seconds MathTheBeautiful Review of Decomposition by the Dot Product

YT 12 minutes 13 seconds MathTheBeautiful Inner Product is Dot Product, Turned on Its Head YT 8 minutes 42 seconds MathTheBeautiful A Brief Recap + Inner Products for Geometric Vectors YT 10 minutes 52 seconds MathTheBeautiful What Are Orthogonal Polynomials? Inner Products on the Space of Functions

YT 19 minutes 33 seconds MathTheBeautiful Inner Products in ℝⁿ YT 5 minutes 17 seconds MathTheBeautiful "Almost Inner Products" on the Space of Polynomials YT 12 minutes 39 seconds MathTheBeautiful Introduction to the Gram-Schmidt Orthogonalization Procedure

YT 5 minutes 56 seconds MathTheBeautiful Gram-Schmidt Orthogonalization via an Algebraic Way of Thinking YT 9 minutes 15 seconds MathTheBeautiful Gram-Schmidt Orthogonalization for Three or More Vectors YT 8 minutes 16 seconds MathTheBeautiful Gram-Schmidt Orthogonalization and Legendre Polynomials

YT 7 minutes 17 seconds MathTheBeautiful Decomposition with Respect to Legendre Polynomials YT 8 minutes 31 seconds MathTheBeautiful Why {1,x,x²} Is a Terrible Basis YT 7 minutes 55 seconds MathTheBeautiful Gram-Schmidt in ℝ³

YT 14 minutes 23 seconds MathTheBeautiful The QR Decomposition YT 12 minutes 1 second MathTheBeautiful Orthogonal Matrices YT 9 minutes 19 seconds MathTheBeautiful Gaussian Quadrature 1: Summary of Legendre Polynomials

YT 12 minutes 34 seconds MathTheBeautiful Gaussian Quadrature 2: How to Determine the Weights YT 12 minutes 38 seconds MathTheBeautiful Gaussian Quadrature 3: The Explanation of the Technique YT 9 minutes 27 seconds MathTheBeautiful General Inner Products in ℝⁿ. Matrix Representation

YT 16 minutes 19 seconds MathTheBeautiful A Criterion for Positive Definiteness of a Symmetric Matrix YT 8 minutes 46 seconds MathTheBeautiful Is BᵀB Always Positive Definite? (Also, Messi makes a comeback!) YT 5 minutes 27 seconds MathTheBeautiful For a Positive Definite M, Is BᵀMB Always Positive Definite, Too?

YT 18 minutes 18 seconds MathTheBeautiful The LDU and LDLᵀ Decompositions and the Implications for Positive Definiteness YT 11 minutes 28 seconds MathTheBeautiful Eigenvectors of Symmetric Matrices Are Orthogonal YT 2 minutes 47 seconds MathTheBeautiful A Symmetric Eigenvalue Decomposition Example in under Three Minutes!

YT 2 minutes 58 seconds MathTheBeautiful A 3x3 Symmetric Eigenvalue Decomposition in under 3 Minutes! YT 17 minutes 41 seconds MathTheBeautiful Quadratic Form Minimization: A Calculus-Based Derivation YT 10 minutes 31 seconds MathTheBeautiful The Least Squares Formula: A Derivation

YT 2 minutes 49 seconds MathTheBeautiful A (Silent) Least Squares Example YT 21 minutes 38 seconds MathTheBeautiful The Location of Minima and Maxima in Functions of Several Variables YT 11 minutes 51 seconds MathTheBeautiful Identifying Minima and Maxima in Multivariable Calculus: The Second Derivative Criterion

YT 12 minutes 23 seconds MathTheBeautiful Decomposition by Inner Product with General Bases YT 9 minutes 53 seconds MathTheBeautiful Decomposition by Inner Product in the Underdetermined Case and Least Squares YT 14 minutes 9 seconds MathTheBeautiful Fourier Series Is Nothing but a Least Squares Problem!

YT 5 minutes 7 seconds MathTheBeautiful A Few Words about the Infinite Fourier Series YT 8 minutes 46 seconds MathTheBeautiful Component Space Representation of Inner Products YT 15 minutes 34 seconds MathTheBeautiful Self-Adjoint Transformations

YT 11 minutes 55 seconds MathTheBeautiful The Laplacian Is a Negative Definite Self-Adjoint Operator YT 6 minutes 31 seconds MathTheBeautiful The connection between the cross product and the determinant YT 10 minutes 47 seconds MathTheBeautiful Inner Products With and Without Component Spaces

YT 11 minutes 18 seconds MathTheBeautiful Least Squares, A Geometric Perspective