# Linear Algebra: Tutoring Solution

• Course type: Self-paced
• Available Lessons: 46
• Average Lesson Length: 8 min
• Eligible for Certificate: Yes

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chapter 1 / lesson 1
Algebra Vocabulary Terms

• Linear Algebra: Tutoring Solution Practice Test

### Course Summary

If you're looking for some help in your linear algebra class, consider using our online tutoring solution to get ready for an exam or raise your grade. Our video and text lessons are self-paced, accessible 24 hours a day, and are accompanied by multiple-choice quizzes you can use to test your understanding.
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#### 6 chapters in Linear Algebra: Tutoring Solution

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: Tutoring Solution {{cp.topicAssetIdToProgress[52139].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Algebra Vocabulary Terms
Score: {{cp.lessonAssetIdToProgress[18416].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18416].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - What is a Variable in Algebra?
Score: {{cp.lessonAssetIdToProgress[11049].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11049].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Practice Simplifying Algebraic Expressions
Score: {{cp.lessonAssetIdToProgress[11055].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11055].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Free Variable vs. Bound Variable
Score: {{cp.lessonAssetIdToProgress[388573].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[388573].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Make a Cayley Table
Score: {{cp.lessonAssetIdToProgress[388609].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[388609].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(1, 6)}}
Ch 2. Linear Equations & Systems: Tutoring Solution {{cp.topicAssetIdToProgress[52140].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Linear Equation?
Score: {{cp.lessonAssetIdToProgress[553].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[553].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Write a Linear Equation
Score: {{cp.lessonAssetIdToProgress[557].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[557].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Applying the Distributive Property to Linear Equations
Score: {{cp.lessonAssetIdToProgress[17726].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17726].bestScoreQuestions}}  Take Quiz Optional
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
Score: {{cp.lessonAssetIdToProgress[11425].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11425].bestScoreQuestions}}  Take Quiz Optional
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?
Score: {{cp.lessonAssetIdToProgress[560].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[560].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Solving Problems Involving Systems of Equations
Score: {{cp.lessonAssetIdToProgress[11429].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11429].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Solving Simultaneous Linear Equations
Score: {{cp.lessonAssetIdToProgress[29551].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[29551].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(2, 6)}}
Ch 3. Vectors in Linear Algebra: Tutoring Solution {{cp.topicAssetIdToProgress[52141].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Scalars and Vectors: Definition and Difference
Score: {{cp.lessonAssetIdToProgress[15053].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15053].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Find a Column Vector
Score: {{cp.lessonAssetIdToProgress[388653].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[388653].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Performing Operations on Vectors in the Plane
Score: {{cp.lessonAssetIdToProgress[28178].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28178].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Difference Between a Row & Column Vector
Score: {{cp.lessonAssetIdToProgress[388655].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[388655].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - The Dot Product of Vectors: Definition & Application
Score: {{cp.lessonAssetIdToProgress[28179].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[28179].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Vector Spaces: Definition & Example
Score: {{cp.lessonAssetIdToProgress[44896].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44896].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Finding the Basis of a Vector Space
Score: {{cp.lessonAssetIdToProgress[44897].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44897].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Orthonormal Bases: Definition & Example
Score: {{cp.lessonAssetIdToProgress[44898].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44898].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - The Gram-Schmidt Process for Orthonormalizing Vectors
Score: {{cp.lessonAssetIdToProgress[44899].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44899].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Linear Combinations & Span: Definition & Equation
Score: {{cp.lessonAssetIdToProgress[44900].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44900].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - Linear Dependence & Independence: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[44901].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[44901].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(3, 6)}}
Ch 4. Matrices in Linear Algebra: Tutoring Solution {{cp.topicAssetIdToProgress[52142].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Matrix?
Score: {{cp.lessonAssetIdToProgress[561].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[561].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Write an Augmented Matrix for a Linear System
Score: {{cp.lessonAssetIdToProgress[21229].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21229].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Matrix Notation, Equal Matrices & Math Operations with Matrices
Score: {{cp.lessonAssetIdToProgress[21231].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21231].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Perform Matrix Row Operations
Score: {{cp.lessonAssetIdToProgress[21230].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21230].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - How to Solve Inverse Matrices
Score: {{cp.lessonAssetIdToProgress[21232].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21232].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Multiplicative Inverses of Matrices and Matrix Equations
Score: {{cp.lessonAssetIdToProgress[21236].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21236].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - How to Solve Linear Systems Using Gaussian Elimination
Score: {{cp.lessonAssetIdToProgress[21233].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21233].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Solve Linear Systems Using Gauss-Jordan Elimination
Score: {{cp.lessonAssetIdToProgress[21234].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21234].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Inconsistent and Dependent Systems: Using Gaussian Elimination
Score: {{cp.lessonAssetIdToProgress[21235].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21235].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Using Cramer's Rule with Inconsistent and Dependent Systems
Score: {{cp.lessonAssetIdToProgress[21239].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21239].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(4, 6)}}
Ch 5. Determinants in Linear Algebra: Tutoring Solution {{cp.topicAssetIdToProgress[52143].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: Tutoring Solution {{cp.topicAssetIdToProgress[52144].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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