Foundations of Matrices and Linear Algebra

Many modern fields, from data science to computer graphics, rely heavily on linear algebra, yet starting with complex equations can feel overwhelming. This text-based course breaks down the core concepts of matrices into clear, digestible explanations, helping you build mathematical confidence from the ground up. You will transition from basic definitions to analyzing complex linear transformations. What you'll learn: Understand core matrix operations, types of matrices, and fundamental algebraic properties; Calculate determinants and find matrix inverses using step-by-step methods; Solve systems of linear equations using systematic elimination techniques; Compute characteristic equations, eigenvalues, and eigenvectors with precision; Apply matrix concepts to practical modern scenarios like data transformations. The course begins with essential terminology and foundational definitions before guiding you through structured, written exercises to practice calculations at your own pace. This course is designed specifically for beginners, students, and aspiring data professionals with no prior advanced algebra experience. Start building your mathematical foundation today.