# Linear Algebra Syllabus & Lesson Plans

• Course type: Self-paced
• Available Lessons: 42
• Average Lesson Length: 8 min
• Eligible for Certificate: Yes

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Algebra Vocabulary Terms

• Linear Algebra Syllabus & Lesson Plans Practice Test

### Course Summary

This Linear Algebra Syllabus Resource & Lesson Plans course is a fully developed resource to help you organize and teach lessons on linear algebra. You can easily adapt the video lessons, transcripts, and quizzes to take full advantage of the comprehensive and engaging material we offer. Make planning your course easier by using our syllabus as a guide.
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#### 6 chapters in Linear Algebra Syllabus & Lesson Plans

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Week {{::cp.getGoalWeekForTopic(1, 6)}}
Ch 2. Linear Equations & Systems Lesson Plans {{cp.topicAssetIdToProgress[52147].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
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Lesson 7 - What is a System of Equations?
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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 Lesson Plans {{cp.topicAssetIdToProgress[52148].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
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Lesson 7 - The Gram-Schmidt Process for Orthonormalizing Vectors
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Lesson 8 - Linear Combinations & Span: Definition & Equation
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Lesson 9 - Linear Dependence & Independence: Definition & Examples
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Week {{::cp.getGoalWeekForTopic(3, 6)}}
Ch 4. Matrices in Linear Algebra Lesson Plans {{cp.topicAssetIdToProgress[52149].percentComplete}}% complete
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Lesson 1 - What is a Matrix?
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Lesson 2 - How to Write an Augmented Matrix for a Linear System
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Lesson 3 - Matrix Notation, Equal Matrices & Math Operations with Matrices
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Lesson 4 - How to Perform Matrix Row Operations
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Lesson 5 - How to Solve Inverse Matrices
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Lesson 6 - Multiplicative Inverses of Matrices and Matrix Equations
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Lesson 7 - How to Solve Linear Systems Using Gaussian Elimination
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Lesson 8 - How to Solve Linear Systems Using Gauss-Jordan Elimination
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Lesson 9 - Inconsistent and Dependent Systems: Using Gaussian Elimination
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Lesson 10 - Using Cramer's Rule with Inconsistent and Dependent Systems
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Ch 5. Determinants in Linear Algebra Lesson Plans {{cp.topicAssetIdToProgress[52150].percentComplete}}% complete
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Lesson 1 - How to Take a Determinant of a Matrix
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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
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Ch 6. Eigenvalue and Eigenvector in Linear Algebra Lesson Plans {{cp.topicAssetIdToProgress[52151].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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