Linear Algebra for Data Science & Machine Learning A-Z 2024

Linear Algebra for Data Science, Big Data, Machine Learning, Engineering & Computer Science. Master Linear Algebra

Created by: Kashif A.
Bestselling Instructor

Created by: Abdullah A.
Bestseller Teacher

What Will I 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…..

Requirements

• A passion to learn about Matrices and Vectors
• Ability to perform basic Mathematical operations (+, -, x, ÷) on numbers and fractions
• Knowledge of how to solve a linear equation (e.g. find x in 3x-4=11)
• Understanding of basic Algebra concepts, e.g. Powers and Roots, simplifying Fractions, Factorization, solving Equations and drawing Graphs.
• You only need to know basic Math and Algebra to take this course.
• And the best thing is, most of the above prerequisite topics are covered inside the course 🙂

Target audience

• Students enrolled or planning to enroll in Linear Algebra class, and who want to excel in it
• Professionals who need a refresher in Math, especially Algebra and Linear Algebra
• Engineers, Scientists and Mathematicians who want to work with Linear Systems and Vector Spaces
• Anyone who wants to master Linear Algebra for Data Science, Data Analysis, Artificial Intelligence, Machine Learning, Deep Learning, Computer Graphics, Programming etc.