MAT 202: Linear Algebra (MAT202)
Princeton University
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Linear Algebra Lecture Notes (ALL) Package Deal
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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
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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
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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
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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
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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
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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
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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
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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
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Lecture 9: Change of Basis Matrix
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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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