 ## Udemy: Linear Algebra Crash Course

Linear Systems of any kind. Matrix Operations and Determinants .Vector Spaces in Linear Algebra
What you’ll learn
• Solve any linear system
• Solve linear systems with parameters
• Solve linear systems with different numbers of variables and equations
• Know what is a Vector Space
• Determine if some vectors are dependent or not
• Linear combinations of vectors
• Check if a set of vectors is a base
• Know what are the coordinates of a vector in a given space
Requirements
• Be able to do basic Mathematical operations
• Solve simple equations like 3x +7 = 5 (x= – 2/3)
Description
Learn the fundamentals of Linear Algebra. Linear Algebra fundamentals are: Linear Systems, Matrix Algebra and  Vector Spaces. Without these 3 pillars it is impossible to grasp the complex subject of linear algebra. This course specializes exactly on that:  Linear Systems Matrix Algebra and Vector Spaces. This is what you will learn in this course: What is a linear System Triangular System and why they are important What operation you are allowed to perform on any system Solve systems with a parameter Solve any linear System, with different number of variables and equations ________________________________________________________ Matrices Matrix Algebra:  Sum, Difference and Multiplications Transpose of a Matrix Symmetric Matrices Inverse of a Matrix and how to compute one Determinant of Matrices and their properties ________________________________________________________ Vectors, sum, difference and properties Vector spaces, example and non examples Linear combinations of Vectors Span of Vectors What is a base of a Vector Space, coordinates of vectors.
Who this course is for:
• Anyone interested in Linear Algebra
• People interested in a solid background for Linear Algebra
• People interested in solving very general Linear Systems
• People interested in Knowing about Vector Spaces