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This course is all about learning the fundamental concepts and complex problems of linear algebra. This course talks about the tools and understanding which is needed to thoroughly learn algebra and its use in diverse fields. It starts by explaining the basics of matrix operations and later teaches what are vectors and subspaces. It also covers important concepts like products, inequalities and Matrix-Vector Products & Systems. This course aims to let you perform linear transformations and projections and understand the importance of algorithms in data science and physics.
Topics Covered:
- Introduction: Start by seeing the important concepts in this course and later download the formula sheet.
- One Matrix Operations: Understand the basics about operations in one matrix and learn about linear operations in two unknowns and three unknowns.
- Two Matrix Operations: Learn the basics of matrix addition and subtraction and understand in depth about scalar multiplication.
- Vectors: Know in depth about vector operations, unit vectors, basis vectors, linear combinations and linear subspaces.
- Dot Products: Learn the concept of dot products and get briefed about vector triangle inequality, normal vectors and cross products.
- Matrix Vector Products: Learn the formula for multiplying matrices by vectors and understanding the null space of a matrix.
- Transformations: Get briefed about both functions and transformations and learn in depth about transformation matrices.
- And Many More Topics..
Who Will Benefit?
- Students In The Field Of Mathematics: Individuals who are in the field of mathematics and engineering and want to study linear algebra in detail.
- Data Scientists: Scientists who want to improve their knowledge about linear algebra, vectors, matrices and transformations.
- Students Preparing For Exams: Students who are preparing for competitive exams like the GRE and GATE and are wanting to learn other things thoroughly.
- Machine Learners: Individuals who want to get briefed about the concepts of data analysis and some machine learning algorithms.
Why Choose This Course?
By choosing this course, you will get a complete training in the concept of linear algebra. This course benefits you by giving a step-by-step guide to foundational concepts and important applications and eigenvectors and linear transformations. It briefs you about topics like matrix operations, vector spaces, orthonormal bases and eigenvalues. With each lesson having quizzes, note sections and practice problems at the end, this course lets you learn each concept in depth. By the end of this course, you will be able to handle linear algebra applications in real-world technologies like computer graphics and data analysis.
