7. Matrices and Determinants

Apply Gaussian Elimination to Systems With More Variables Than Equations

Inconsistent and Dependent Systems 

Elimination method 3 unknowns 2 equations

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

w + x - y + z = - 2
2w - x + 2y - z = 7
- w + 2x + y + 2z = - 1

PreCalculus - Matrices & Matrix Applications (9 of 33) Gaussian Elimination: 3x3, Infinite Solutions

In Exercises 8–11, use Gaussian elimination to find the complete solution to each system, or show that none exists.

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

3x + 4y + 2z = 3
4x - 2y - 8z = - 4
x + y - z = 3

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

w + 2x + 3y - z = 7
2x - 3y + z = 4
w - 4x + y = 3

PreCalculus - Matrices & Matrix Applications (8 of 33) Gaussian Elimination: 3x3 Matrix, No Solution

Traffic Flow

Intro to Linear Systems: 2 Equations, 3 Unknowns - Dr Chris Tisdell Live Stream

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

5x + 8y - 6z = 14
3x + 4y - 2z = 8
x + 2y - 2z = 3

02-1 Applications of systems of linear equations: traffic flow

Sec 1.2 Gauss-Jordan elimination (many solutions)

Solving a System of 2 Equations with 3 Unknowns - Infinitely Many Solutions

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

w - 2x - y - 3z = - 9
w + x - y = 0
3w + 4x + z = 6
2x - 2y + z = 3

Algebra 62 - Gauss Jordan Elimination with Traffic Flow

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

x + y - 2z = 2
3x - y - 6z = - 7

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

x + 2y + 3z = 5
y - 5z = 0

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

2x + y - z = 2
3x + 3y - 2z = 3

Overdetermined systems: more equations than variables

Linear Algebra 1.3  Systems Examples

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

5x + 12y + z = 10
2x + 5y + 2z = - 1
x + 2y - 3z = 5

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

w - 3x + y - 4z = 4
- 2w + x + 2y = - 2
3w - 2x + y - 6z = 2
- w + 3x + 2y - z = - 6

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

2w + x - y = 3
w - 3x + 2y = - 4
3w + x - 3y + z = 1
w + 2x - 4y - z = - 2

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists.

8x + 5y + 11z = 30
- x - 4y + 2z = 3
2x - y + 5z = 12

A unique solution, No solution, or Infinitely many solutions | Ax=b

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

College Algebra

https://static.studychannel.pearsonprd.tech/courses/college-algebra/thumbnails/college-algebra

#FFFFFF

patrickJMT

Michael King

Dr Chris Tisdell

Mulkek

MyWhyU

Bob Davis

mth309

CBlissMath

KevinsMath

Michel van Biezen

Frank Forte

1. Fundamental Concepts of Algebra

2. Equations and Inequalities

3. Functions and Graphs

4. Polynomial and Rational Functions

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

8. Conic Sections

9. Sequences, Induction, and Probability

undefined - Channels

Find the Multiplicative Inverse of a Square Matrix

Use Inverses to Solve Matrix Equations

Encode and Decode Messages

Multiplicative Inverses of Matrices and Matrix Equations

Apply Gaussian Elimination to Systems Without Unique Solutions

Solve Problems Involving Systems Without Unique Solutions

Write the Augmented Matrix for a Linear System

Perform Matrix Row Operations

Use Matrices and Gaussian Elimination to Solve Systems

Use Matrices and Gauss-Jordan Elimination to Solve Systems

Matrix Solutions to Linear Systems

Evaluate a Second & Third-Order Determinant

Solve a System of Linear Equations in Two & Three Variables Using Cramer's Rule

Evaluate Higher-Order Determinants

Determinants and Cramer's Rule

Use Matrix Notation

Understand What is Meant by Equal Matrices

Add and Subtract Matrices

Perform Scalar Multiplication

Solve Matrix Equations

Multiply Matrices

Model Applied Situations with Matrix Operations

Matrix Operations and Applications

General Chemistry

Jules

Study the key concepts of Physics with descriptive videos, questions, and more

Physics

Patrick

General Biology

Jason

Financial Accounting

Brian

Dive deep into Psychology with videos, practice problems, and more.

Psychology

Microeconomics

The first in a two-course sequence introduces the basic structure and functions of the human body

Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

Johnny

Genetics

Kylia

GOB Chemistry

Microbiology

Cell Biology

Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors

Precalculus

Biochemistry

Macroeconomics

Chemistry

Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

Self Management

Digital Literacy

Collaboration

Communication

Analytical Thinking

Leadership

Flexibility/Adaptability

Innovation

Eric Zackrison

Nicole Tetreault

Dive deep into Python with videos and more.

Introduction to Python

Arianne Dee

Agile Project and Product Management

Agile & Product Management

Mariya Breyther 

Introduction to Microsoft Power BI

Microsoft Power BI

Chris Sorensen

Data Analysis Fundamentals with Excel

Data Analysis - Excel

Chris Sorensen & Ammul Shergill

Getting Started with  and Cryptocurrency

Introduction to Blockchain

George Levy

Learn Enough HTML, CSS and Layout to be Dangerous

HTML, CSS & Layout

Lee Donahoe & Michael Hartl

Learn Enough JavaScript to be Dangerous: A Tutorial Introduction to Programming with JavaScript