 # 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

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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