Learn Linear Algebra - the Theory of Everything!. Master techniques and theory of linear algebra
This specialization is a three course sequence that will cover the main topics of undergraduate linear algebra. Defined simply, linear algebra is a branch of mathematics that studies vectors, matrices, lines and the areas and spaces they create. These concepts are foundational to almost every industry and discipline, giving linear algebra the informal name "The Theory of Everything".
This specialization assumes no prior knowledge of linear algebra and requires no calculus or similar courses as a prerequisite. The first course starts with the study of linear equations and matrices. Matrices and their properties, such as the determinant and eigenvalues are covered. The specialization ends with the theory of symmetric matrices and quadratic forms. Theory, applications, and examples are presented throughout the course. Examples and pictures are provided in low dimensions before abstracting to higher dimensions. An equal emphasis is placed on both algebraic manipulation as well as geometric understanding of the concepts of linear algebra.
Upon completion of this specialization , students will be prepared for advanced topics in data science, AI, machine learning, finance, mathematics, computer science, or economics.
Coursera
Dive into the final chapter of our Linear Algebra Specialization series where you'll explore the intricate world of orthogonality and diagonalization. This course is designed to equip you with advanced knowledge on orthogonal vectors, transformation, and symmetric matrices, essential for a wide range of applications from engineering to data science.
Coursera
Dive into the world of linear algebra with our introductory course, designed to equip you with the foundational knowledge needed to tackle linear systems and matrix equations. Whether you're a student, engineer, or scientist, this course will provide you with essential skills for solving real-life problems through mathematical principles.
Coursera
Dive into the advanced techniques and theory of Linear Algebra in this specialized course. Learn about matrix algebra, determinants, and eigenvectors as you explore the powerful methods for analyzing and solving systems of linear equations. Perfect for those looking to deepen their understanding of linear transformations and vector manipulation.