Diagonalization Courses and Certifications

Career Certificate

Linear Algebra Programming with R

Master linear algebra concepts through R programming with practical applications in data science, covering vectors, matrices, operations, eigenvalues, and statistical analysis techniques.

• CodeSignal
• 10 hours
• Self-Paced
• Free Certificate
• 3 courses

Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors

79 ratings at Coursera

Develop matrix algebra techniques, study determinants, and explore eigenvectors to analyze linear transformations. Apply concepts to Markov chains and Google PageRank algorithm.

• Coursera
• 14 hours 53 minutes
• Self-Paced
• Paid Course

Introduction to Linear Algebra

42 ratings at Coursera

Explore geometric vectors, lines, planes, matrices, determinants, and eigentheory. Gain practical skills in solving systems of equations and understanding linear transformations, with applications in various fields.

• Coursera
• 1 day 12 hours 14 minutes
• Self-Paced
• Paid Course

Infinity: Mathematics, History, Philosophy (Live Online)

33 ratings at CourseHorse

Explore how humans have tried to understand the infinite—from ancient paradoxes to modern mathematical breakthroughs.

• CourseHorse
• 12 hours
• Self-Paced
• $335.00

Linear Algebra and Geometry 2

303 ratings at Udemy

Much more about matrices; abstract vector spaces and their bases; linear transformations animated with MANIM

• Udemy
• 1 day 23 hours 9 minutes
• Self-Paced
• Paid Course

The Julia Programming Language

Projector Monte Carlo and Exact Diagonalization with Rimu.jl

Explore quantum many-body physics with Rimu.jl: implement projector Monte Carlo, perform exact diagonalization, and extend models using Julia's speed and flexibility.

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

Qiskit

Sample-Based Quantum Diagonalization for Chemistry - Designing New Algorithms with Qiskit

Discover sample-based quantum diagonalization (SQD) for estimating eigenvalues of quantum Hamiltonians, combining quantum sampling with classical processing to solve chemistry problems.

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

Qiskit

A Deep Dive Into Sample-Based Quantum Diagonalization Methods

Dive into Sample-Based Quantum Diagonalization (SQD) and SKQD algorithms for approximating eigenstates of many-body Hamiltonians in quantum centric supercomputing applications.

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

Qiskit

Implicit Solvent Sample-Based Quantum Diagonalization - QDC 2025

Discover quantum molecular simulation in realistic liquid environments using IBM's advanced sample-based quantum diagonalization with integrated solvent effects and iterative resampling.

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

IISc Bangalore;  NPTEL

Linear Algebra

Comprehensive introduction to linear algebra, covering vectors, matrices, transformations, and advanced concepts. Suitable for undergraduates in mathematics, physics, engineering, and computer science.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

NPTEL;  IISc Bangalore

Advanced Matrix Theory and Linear Algebra for Engineers

1 rating

Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.

• YouTube
• 1 day 14 hours
• Self-Paced
• Free Video

Michael Penn

Systems of Differential Equations - Matrix Exponentials and Solution Methods

Master matrix exponentials and solution techniques for linear systems through diagonalizable, complex eigenvalue, and non-homogeneous cases with practical examples.

• YouTube
• 1 hour 54 minutes
• Self-Paced
• Free Video

Michael Penn

Solving a Calculus Problem Using Linear Algebra

Explore how linear algebra techniques can be applied to solve complex calculus problems, demonstrating the interconnectedness of mathematical disciplines.

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

Steve Brunton

Eigenvalues and Eigenvectors

Explore eigenvalues and eigenvectors, key concepts in linear algebra. Learn to compute them for any matrix, understand their significance in transformations, and apply them to solve complex linear systems.

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

Steve Brunton

Matrix Systems of First Order Equations Using Eigenvectors and Eigenvalues

Explore matrix systems of first-order equations, diagonalization techniques, and higher-order linear ODEs. Learn to solve complex differential equations using eigenvectors and eigenvalues.

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