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