Complete Linear Algebra for Data Science & Machine Learning

Complete Linear Algebra for Data Science & Machine Learning | Udemy
English | Size: 7.63 GB
Genre: eLearning

What you’ll learn
Fundamentals of Linear Algebra and how to ace your Linear Algebra exam
Basics of matrices (notation, dimensions, types, addressing the entries etc.)
Operations on a single matrix, e.g. scalar multiplication, transpose, determinant & adjoint
Operations on two matrices, including addition, subtraction and multiplication of matrices
Performing elementary row operations and finding Echelon Forms (REF & RREF)
Inverses, including invertible and singular matrices, and the Cofactor method
Solving systems of linear equations using matrices and inverse matrices, including Cramer’s rule to solve AX = B
Properties of determinants, and how to perform Gauss-Jordan elimination
Matrices as vectors, including vector addition and subtraction, Head-to-Tail rule, components, magnitude and midpoint of a vector
Vector spaces, including dimensions, Euclidean spaces, closure properties and axioms
Linear combinations and span, spanning set for a vector space and linear dependence
Subspace and Null-space of a matrix, matrix-vector products
Basis and standard basis, and checking if a set of given vectors forms the basis for a vector space
Eigenvalues and Eigenvectors, including how to find Eigenvalues and the corresponding Eigenvectors
Basic algebra concepts ( as a BONUS)
And so much more…..

DO YOU WANT TO LEARN LINEAR ALGEBRA IN AN EASY WAY?

Great!

With 22+ hours of content and 200+ video lessons, this course covers everything in Linear Algebra, from start till the end!

Every concept is explained in simple language, and Quizzes and Assignments (with solutions!) help you test your concepts as you proceed.

Whether you’re a student, or a professional or a Math enthusiast, this course walks you through the core concepts of Linear Algebra in an easy and fun way!

HERE IS WHAT YOU WILL LEARN:

· Fundamentals of Linear Algebra and how to ace your Linear Algebra exam

· Basics of matrices, including notation, dimensions, types, addressing the entries etc.

· Operations on a single matrix, e.g. scalar multiplication, transpose, determinant, adjoint etc.

· Operations on two matrices, including addition, subtraction and multiplication

· Performing elementary row operations and finding Echelon Forms (REF & RREF)

· Inverses, including invertible and singular matrices, and the Cofactor method

· Solving systems of equations using matrices & inverse matrices, including Cramer’s rule to solve AX = B

· Performing Gauss-Jordan elimination

· Properties of determinants and how to utilize them to gain insights

· Matrices as vectors, including vector addition and subtraction, Head-to-Tail rule, components, magnitude and midpoint of a vector

· Linear combinations of vectors and span

· Vector spaces, including dimensions, Euclidean spaces, closure properties and axioms

· Subspace and Null-space of a matrix, matrix-vector products

· Spanning set for a vector space and linear dependence

· Basis and standard basis, and checking if a set of given vectors forms the basis for a vector space

· Eigenvalues and Eigenvectors, including how to find Eigenvalues and the corresponding Eigenvectors

· Basic algebra concepts (as a BONUS)

· And so much more…..

HERE IS WHAT YOU GET IN THE COURSE:

Video Lessons: Watch over my shoulder as I explain all the Linear Algebra concepts in a simple and easy to understand language. Everything is taught from scratch, and no prior knowledge is assumed.

Solved Examples: Every topic is explained with the help of solved examples, from start to end. This problem-based approach is great, especially for beginners who want to practice their Math concepts while learning.

Quizzes: When you think you have understood a concept well, test it by taking the relevant quiz. If you pass, awesome! Otherwise review the suggested lessons and retake the quiz, or ask for help in the Q/A section.

Assignments: Multiple assignments offer you a chance for additional practice by solving sets of relevant and insightful problems (with solutions provided)

By the end of this course, you’ll feel confident and comfortable with all the Linear Algebra topics discussed in this course!

WHY SHOULD YOU LEARN LINEAR ALGEBRA?

· Linear Algebra is a prerequisite for many lucrative careers, including Data Science, Artificial Intelligence, Machine Learning, Financial Math, Data Engineering etc.

· Being proficient in Linear Algebra will open doors for you to many high-in-demand careers

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