Foundational Linear Algebra and Matrix Operations

Linear algebra is the mathematical engine behind modern technology, powering everything from computer graphics and game engines to machine learning algorithms and data analysis pipelines. If you want to understand how data is structured and manipulated in software, mastering matrices and vectors is your essential first step. This text-based course guides you through the core mathematical concepts of linear algebra without overwhelming you with abstract proofs. You will develop a strong mental model of how these operations work and how to apply them to real-world computational problems. What you'll learn: Understand core vector operations including addition, scalar multiplication, and dot products; Perform matrix arithmetic, transposition, and matrix-matrix multiplication; Solve systems of linear equations using Gaussian elimination and row reduction; Calculate determinants and find matrix inverses to solve complex transformations; Explore eigenvalues and eigenvectors and their modern application in dimensionality reduction; Apply linear algebra concepts to foundational computer science and data science problems. You will start with fundamental definitions of vectors and matrices, gradually moving from basic arithmetic to solving complex systems of equations and understanding geometric transformations. This course is designed specifically for beginners, programmers, and aspiring data professionals with no prior advanced mathematical background. Start your journey into the mathematical foundation of modern technology today.