Matrices Courses and Certifications

DevConf

Balancing Test Matrices for Effective Quality Assurance

Discover effective strategies for balancing test matrices, focusing on cloud-init as an example. Learn to optimize test case design and maximize coverage with limited resources.

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

Wrath of Math

Orthogonal Matrices and Their Properties - Linear Algebra

Explore orthogonal matrices: definition, examples, properties, and geometric interpretations. Learn about their equivalence to matrices with orthonormal row and column vectors.

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

UofU Data Science

Dimensionality Reduction: Data Matrices and Projection Methods - Lecture 18

Explore dimensionality reduction techniques through matrix operations, focusing on dot product projections and orthogonal basis sets for effective data transformation.

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

VinAI

Geometry of Covariance Matrices, Covariance Operators, and Gaussian Processes

Explore geometric approaches to covariance matrices, operators, and Gaussian processes. Gain insights into non-Euclidean distances, Fisher-Rao distance, and Wasserstein distance in infinite-dimensional settings.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Checks for Positive Definite Matrices

Explore various methods for checking if a matrix is positive definite, including Newton methods, convergence proofs, and Hessian modification techniques.

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

NPTEL-NOC IITM

Positive Semi-Definite Matrices and the Eigenvalues of Their Partitioned Form

Explore the relationship between eigenvalues of positive semi-definite matrices and their partitioned blocks, focusing on non-negative eigenvalue properties.

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

NPTEL-NOC IITM

Determinant of Submatrices of Incidence Matrices and Characterization of Spanning Trees

Discover how to identify spanning trees in graphs by calculating determinants of incidence matrix submatrices using n-1 edges from n-vertex graphs.

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

UofU Data Science

Linear Algebra Review - Square Matrices - L10

Master square matrices, inverse operations, eigenvectors/eigenvalues, positive definite matrices, and orthogonality concepts essential for data analysis foundations.

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

The Julia Programming Language

Binsparse - A Specification for Cross-Platform Storage of Sparse Matrices and Tensors

Discover Binsparse, a cross-platform binary format for efficient sparse matrix storage, offering 26.5x faster reads and 2.4x smaller files than text-based formats.

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

Math Fundamentals: Algebra

This course deals with systems of equations, matrices and how to use them to solve them.

• edX
• 4 weeks, 3-4 hours a week
• Self-Paced
• Free Online Course (Audit)

Mathematics Describing the Real World: Precalculus and Trigonometry

81 ratings at The Great Courses Plus

Prepare your student or yourself for success with this course on precalculus and trigonometry by the author of one of the most widely used textbooks on the subject.

• The Great Courses Plus
• 18 hours 43 minutes
• Self-Paced
• Free Trial Available

Matrix Analysis

introduce the key mathematical ideas in matrix theory, which are used in modern methods of matrix Lie groups, functional analysis, data analysis, scientific computing, optimization, and merely all quantitative fields of sci-ence and engineering.

• XuetangX
• Self-Paced
• Free Online Course

IIT Kharagpur;  NPTEL

Matrix Solver

Learn direct and iterative algorithms for efficiently solving large matrix equations, with mathematical foundations, convergence analysis, and working implementations.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Quantum Computing: From Basics to Advanced Algorithms

An introduction to quantum computing that builds from complex numbers and matrices to qubits, quantum circuits, and algorithms including Shor’s algorithm.

• freeCodeCamp
• 1 hour 36 minutes
• Self-Paced
• Free Video

College Precalculus - Full Course with Python Code Implementation

Explore college precalculus through Python-based applications involving trigonometry, matrices, complex numbers, series, and probability.

• freeCodeCamp
• 12 hours 3 minutes
• Self-Paced
• Free Video