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
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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
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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