Orthogonality Courses and Certifications

Matrix Algebra for Engineers

895 ratings

This course is all about matrices, and concisely covers the linear algebra that an engineer should know. We define matrices and how to add and multiply them, and introduce some special types of matrices.

• Coursera
• 19 hours 35 minutes
• Self-Paced
• Paid Course

• Best of All Time

Projection Theory

Explore how sets behave under orthogonal projections, connecting harmonic analysis, number theory, additive combinatorics, and dynamics through fundamental methods and recent developments.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Linear Algebra: Orthogonality and Diagonalization

51 ratings at Coursera

Explore orthogonality, diagonalization, and symmetric matrices, gaining skills applicable to AI and machine learning. Develop a strong foundation for advanced studies in data science and mathematics.

• Coursera
• 9 hours 15 minutes
• Self-Paced
• Paid Course

Tom Rocks Maths

Oxford Linear Algebra - Inner Product Space

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.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Inside Livermore Lab

Model Reduction via Optimization of Projection Operators and Reduced-Order Dynamics

Explore non-intrusive methods for computing reduced-order models, focusing on systems with large-amplitude transient growth. Learn techniques to identify oblique projection operators and reduced-order dynamics from data.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Tensor Analysis - Lowering Index Operations, Inner Products, and Vector Norms - II

Discover tensor operations including index lowering, vector inner products, and norm calculations in this focused mathematical exploration.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Orthogonality of Signals - Lecture 10

Explore orthogonality of signals, a fundamental concept in signal processing and communication systems. Gain insights into its applications and importance.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Legendre Polynomials: Rodrigues Formula, Orthogonality, and Normalization Integral - Lecture 48

Explore Legendre polynomials, including Rodrigues formula, orthogonality, and normalization integral, to enhance your mathematical understanding.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

Tobias Osborne

Symmetries and Quantum Mechanics - Orthogonality Relations for Characters - Lecture 5

Explore the fundamental principles of group representation theory in quantum mechanics, focusing on character orthogonality relations and their applications in quantum states.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Mathematics for Machine Learning: PCA

3186 ratings at Coursera

Explore mathematical foundations of Principal Component Analysis (PCA) for dimensionality reduction. Learn statistics, inner products, orthogonal projections, and derive PCA from a geometric perspective.

• Coursera
• 20 hours 39 minutes
• Self-Paced
• Paid Course

BIMSA

Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024

Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Harvard CMSA

Orthogonality of Spin q-Whittaker Polynomials

Delve into the orthogonality of spin q-Whittaker polynomials, exploring their properties as symmetric polynomials, eigenrelations, and applications to directed random polymer models with Beta weights.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

NPTEL-NOC IITM

Orthogonality and Conjugacy

Explore orthogonality and conjugacy concepts in gradient methods, focusing on quadratic form visualization, conjugate directions, and their mathematical relationships.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Orthogonality

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.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

Matrix Methods

249 ratings at Coursera

Explore fundamental matrix methods essential for machine learning and data analysis, including multiplication, linear equations, orthogonality, and SVD for dimensionality reduction and PCA.

• Coursera
• 6 hours 35 minutes
• Self-Paced
• Paid Course