MAT 202: Linear Algebra (MAT202)
Princeton University
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contains all 22 lecture notes
![Lecture 1: Linear Systems and Matrices](/docpics/4100974/658dfcdcd3187_4100974_121_171.jpeg)
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Lecture 1: Linear Systems and Matrices
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
1.1 Introduction to Linear Systems
![Lecture 2: Vectors and Linear Combinations](/docpics/4100966/658dfcd94a0f3_4100966_121_171.jpeg)
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Lecture 2: Vectors and Linear Combinations
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
1.2 Matrices, Vectors, and Gauss-Jordan Elimination 
1.3 On the Solutions of Linear Systems; Matrix Algebra
![Lecture 3: Linear Transformations](/docpics/4100955/658dfcd5b5911_4100955_121_171.jpeg)
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Lecture 3: Linear Transformations
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
2.1 Introduction to Linear Transformations and Their Inverses
![Lecture 4: Orthogonal Projections](/docpics/4100950/658dfcd22720a_4100950_121_171.jpeg)
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Lecture 4: Orthogonal Projections
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
2.2 Linear Transformations in Geometry
![Lecture 5: Matrix Multiplication and Inverse Matrices](/docpics/4100938/658dfccebbd7f_4100938_121_171.jpeg)
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Lecture 5: Matrix Multiplication and Inverse Matrices
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
2.3 Matrix Products 
2.4 The Inverse of a Linear Transformation
![Lecture 6: Image and Kernel](/docpics/4100934/658dfccb48266_4100934_121_171.jpeg)
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Lecture 6: Image and Kernel
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
3.1 Image and Kernel of a Linear Transformation
![Lecture 7: Span and Basis](/docpics/4100931/658dfcc7e24da_4100931_121_171.jpeg)
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Lecture 7: Span and Basis
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
3.2 Subspaces of R^n; Bases and Linear Independence
![Lecture 8: Rank-Nullity Theorem and Coordinates](/docpics/4100922/658dfcc35ea18_4100922_121_171.jpeg)
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Lecture 8: Rank-Nullity Theorem and Coordinates
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
3.3 The Dimension of a Subspace of R^n 
3.4 Coordinates
![Lecture 9: Change of Basis Matrix](/docpics/4100913/658dfcc016d36_4100913_121_171.jpeg)
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Lecture 9: Change of Basis Matrix
- Class notes • 3 pages • 2023
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Linear Algebra with Applications (Fifth Edition) by Otto Bretsch 
3.3 The Dimension of a Subspace of R^n 
3.4 Coordinates
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