# Linear Algebra: Help & Tutorials

• Course type: Self-paced
• Available Lessons: 44
• Average Lesson Length: 8 min
• Eligible for Certificate: Certificate completed Yes

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chapter 1 / lesson 1
Algebra Vocabulary Terms

• Linear Algebra: Help & Tutorials Practice Test

### Course Summary

This Linear Algebra: Help & Tutorials course is a fun and effective way to get help with linear algebra. The lessons in this course help you study important algebra topics to help prepare for an exam, complete challenging homework assignments or get caught up on topics you've missed.
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#### 6 chapters in Linear Algebra: Help & Tutorials

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
• Comprehensive test covering all topics
• Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 6)}}
Ch 1. Basic Algebra Review {{cp.topicAssetIdToProgress[44893].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Algebra Vocabulary Terms
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Lesson 2 - What is a Variable in Algebra?
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Lesson 3 - Practice Simplifying Algebraic Expressions
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Lesson 4 - Introduction to Linear Algebra: Applications & Overview
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Ch 2. Linear Equations & Systems {{cp.topicAssetIdToProgress[44894].percentComplete}}% complete
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Lesson 1 - What is a Linear Equation?
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Lesson 2 - How to Write a Linear Equation
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Lesson 3 - Applying the Distributive Property to Linear Equations
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Lesson 4 - Solving Linear Equations with Literal Coefficients
Score: {{cp.lessonAssetIdToProgress[11426].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11426].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Solving Linear Equations: Practice Problems
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Lesson 6 - Linear Equations: Intercepts, Standard Form and Graphing
Score: {{cp.lessonAssetIdToProgress[554].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[554].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - What is a System of Equations?
Score: {{cp.lessonAssetIdToProgress[559].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[559].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How Do I Use a System of Equations?
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Lesson 9 - Solving Problems Involving Systems of Equations
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Lesson 10 - Solving Simultaneous Linear Equations
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Week {{::cp.getGoalWeekForTopic(2, 6)}}
Ch 3. Vectors in Linear Algebra {{cp.topicAssetIdToProgress[44895].percentComplete}}% complete
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Lesson 1 - Scalars and Vectors: Definition and Difference
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Lesson 2 - Performing Operations on Vectors in the Plane
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Lesson 3 - The Dot Product of Vectors: Definition & Application
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Lesson 4 - Vector Spaces: Definition & Example
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Lesson 5 - Finding the Basis of a Vector Space
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Lesson 6 - Orthonormal Bases: Definition & Example
Score: {{cp.lessonAssetIdToProgress[44898].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44898].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - The Gram-Schmidt Process for Orthonormalizing Vectors
Score: {{cp.lessonAssetIdToProgress[44899].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44899].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Linear Combinations & Span: Definition & Equation
Score: {{cp.lessonAssetIdToProgress[44900].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44900].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Linear Dependence & Independence: Definition & Examples
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Ch 4. Matrices in Linear Algebra {{cp.topicAssetIdToProgress[44902].percentComplete}}% complete
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Lesson 1 - What is a Matrix?
Score: {{cp.lessonAssetIdToProgress[561].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[561].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Square Matrix: Definition & Concept
Score: {{cp.lessonAssetIdToProgress[3758].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3758].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Write an Augmented Matrix for a Linear System
Score: {{cp.lessonAssetIdToProgress[21229].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21229].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Matrix Notation, Equal Matrices & Math Operations with Matrices
Score: {{cp.lessonAssetIdToProgress[21231].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21231].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Perform Matrix Row Operations
Score: {{cp.lessonAssetIdToProgress[21230].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21230].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - How to Solve Inverse Matrices
Score: {{cp.lessonAssetIdToProgress[21232].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21232].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Multiplicative Inverses of Matrices and Matrix Equations
Score: {{cp.lessonAssetIdToProgress[21236].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21236].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Solve Linear Systems Using Gaussian Elimination
Score: {{cp.lessonAssetIdToProgress[21233].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21233].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Solve Linear Systems Using Gauss-Jordan Elimination
Score: {{cp.lessonAssetIdToProgress[21234].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21234].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Inconsistent and Dependent Systems: Using Gaussian Elimination
Score: {{cp.lessonAssetIdToProgress[21235].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21235].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - Using Cramer's Rule with Inconsistent and Dependent Systems
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Week {{::cp.getGoalWeekForTopic(4, 6)}}
Ch 5. Determinants in Linear Algebra {{cp.topicAssetIdToProgress[44903].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Take a Determinant of a Matrix
Score: {{cp.lessonAssetIdToProgress[562].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[562].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Solving Systems of Linear Equations in Two Variables Using Determinants
Score: {{cp.lessonAssetIdToProgress[21237].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21237].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Solving Systems of Linear Equations in Three Variables Using Determinants
Score: {{cp.lessonAssetIdToProgress[21238].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21238].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Evaluate Higher-Order Determinants in Algebra
Score: {{cp.lessonAssetIdToProgress[21240].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21240].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Laplace Expansion Equation & Finding Determinants
Score: {{cp.lessonAssetIdToProgress[39184].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[39184].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(5, 6)}}
Ch 6. Eigenvalue and Eigenvector in Linear Algebra {{cp.topicAssetIdToProgress[44904].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Eigenvalues & Eigenvectors: Definition, Equation & Examples
Score: {{cp.lessonAssetIdToProgress[39187].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[39187].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Determine the Eigenvalues of a Matrix
Score: {{cp.lessonAssetIdToProgress[44905].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44905].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Determine the Eigenvectors of a Matrix
Score: {{cp.lessonAssetIdToProgress[44906].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44906].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Diagonalization: Definition & Example
Score: {{cp.lessonAssetIdToProgress[44908].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44908].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Diagonalizing Symmetric Matrices: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[44909].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44909].bestScoreQuestions}}  Take Quiz Optional

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Practice Tests in this course
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• Video lessons to explain complicated concepts
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