Enroll Course: https://www.udemy.com/course/linear-algebra-master/
Are you looking to build a strong foundation in mathematics for programming, data science, or machine learning? Look no further than Krista’s ‘Linear Algebra Master’ course on Udemy. This comprehensive course is designed to take you from a beginner to a master of linear algebra, covering all essential concepts with clarity and depth.
**Why Choose This Course?**
Krista’s course is an excellent stepping stone before diving into programming-based subjects. Linear algebra is the backbone of data science and powers everything in machine learning. This course meticulously covers key concepts such as linear transformations, vectors, matrices, inverse matrices, determinants, Cramer’s rule, orthogonality, and eigenvalues. With a wealth of quizzes and workbooks, you’ll solidify your understanding through practice.
**Course Structure and Content**
Spanning 247 lectures, the course offers both video and text explanations for every topic. It includes 69 quizzes with solutions and 12 supplementary workbooks for extra practice. The curriculum is logically structured into sections covering:
* Operations on a single matrix, including solving linear systems and Gaussian-Jordan elimination.
* Operations on two matrices, including matrix multiplication and elementary matrices.
* Matrices as vectors, covering linear combinations, span, linear independence, and subspaces.
* Dot and cross products, including the Cauchy-Schwarz and triangle inequalities.
* Matrix-vector multiplication, solving Ax=b, and covering null and column spaces.
* Transformations, including linear transformations, projections, and combining transformations.
* Inverses and solving systems with invertible matrices, covering inverse and singular matrices.
* Determinants and Cramer’s Rule, including upper and lower triangular matrices.
* Transposes, left null spaces, and column (row) spaces, including determinants of transposes.
* Orthogonality and basis transformations, including orthogonal complements, projections onto subspaces, least squares, and basis changes.
* Orthogonal bases and Gram-Schmidt, covering the definition of orthonormal bases and conversion via the Gram-Schmidt process.
* Eigenvalues and eigenvectors, including finding eigenvalues, associated eigenvectors, eigenspaces, and eigenvalues in 3D.
Each lecture includes detailed video explanations where Krista walks you through problem-solving step-by-step, explaining the ‘why’ behind each action. The ‘Notes’ section provides concise summaries of key takeaways, acting as a perfect study guide. Quizzes test your comprehension, and workbooks offer ample opportunity for further practice.
**Student Testimonials**
The course has received overwhelmingly positive feedback from students. Many praise Krista’s clear explanations, well-structured notes, and the practical approach to complex topics. Students have reported significant improvements in their understanding and performance in related subjects.
**Additional Benefits**
By enrolling, you gain lifetime access to the course, support through the Q&A section (questions are welcomed in English), a downloadable certificate of completion, and a 30-day money-back guarantee.
**Recommendation**
If you’re serious about mastering linear algebra for your academic or professional pursuits, this course is an invaluable resource. Krista’s teaching style is engaging and effective, making even the most challenging concepts accessible. Don’t miss out on this opportunity to become a ‘Linear Algebra Master’!
Enroll Course: https://www.udemy.com/course/linear-algebra-master/