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#Inner Product Spaces

Showing: 11 courses
NPTEL

Linear Algebra

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In this course, you will learn systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates.
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52 Lesons
1 day 16 hours
On-Demand
Free-Video
NPTEL

Linear Algebra

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Comprehensive exploration of linear algebra fundamentals, covering matrices, linear systems, vector spaces, transformations, and inner product spaces, with a focus on theoretical concepts and practical applications.
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66 Lesons
1 day 8 hours
On-Demand
Free-Video

Orthogonality

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Explora conjuntos ortogonales, proyecciones, desigualdad de Cauchy-Schwarz, proceso de Gram-Schmidt, descomposición QR, regresión lineal, espacios de producto interno, polinomios de Legendre y series de Fourier.
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12 Lesons
3 hours 30 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Minimum Mean Squared Error Estimation

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Explore minimum mean squared error estimation techniques, covering inner product spaces, univariate subspaces, bivariate functions, and MMSC estimation.
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6 Lesons
17 minutes
On-Demand
Free-Video
Steve Brunton

Infinite Dimensional Function Spaces and Fourier Series

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Explore infinite dimensional function spaces and Fourier series, covering inner product spaces, orthogonal functions, and complex functions in engineering mathematics.
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6 Lesons
49 minutes
On-Demand
Free-Video
Tom Rocks Maths

Oxford Linear Algebra - Inner Product Space

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Explore inner product spaces, bilinear forms, and orthonormal sets in linear algebra. Learn key concepts and proofs with practical examples and exercises to enhance understanding.
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1 Lesons
34 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Finite Dimensional Vector Spaces - An Overview

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Comprehensive overview of finite dimensional vector spaces, exploring key concepts, properties, and applications in linear algebra and mathematical analysis.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Wrath of Math

Gram-Schmidt Orthogonalization - Proof and Example in Linear Algebra

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Comprehensive exploration of Gram-Schmidt orthogonalization, covering proof, process, and practical application in R^3. Ideal for deepening understanding of orthonormal bases in linear algebra.
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6 Lesons
15 minutes
On-Demand
Free-Video
Wrath of Math

Orthogonal Projections on Inner Product Subspaces - Linear Algebra

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Explore orthogonal projections in inner product spaces, including the projection theorem and methods for calculating projections onto subspaces and orthogonal components.
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1 Lesons
14 minutes
On-Demand
Free-Video
Wrath of Math

Least Squares Solutions and Deriving the Normal Equation - Linear Algebra

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Explore least squares solutions, deriving the normal equation for inconsistent systems. Learn best approximation theorem, its application in R^n, and solve examples with unique and infinite solutions.
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12 Lesons
25 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Higher Rank Voronoi Decompositions and Metric Degenerations of Tori

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Explore higher rank Voronoi decompositions and their applications in studying asymptotic geometry of Riemann surfaces and moduli spaces.
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1 Lesons
47 minutes
On-Demand
Free-Video