Tarnished Linear Algebra
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Chapter 1
2
1-1 About this note
9月 11, 2021
1-2 prereq
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Chapter 2 Vectors in n dimension
3
2-1 Vector
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2-2 Adding vector
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2-3 Assignment
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Chapter 3 Meaning of "Linear" in linear algebra
4
3-1 Linear combination of vectors
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3-2 Span of vectors and space
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3-3 Basis of space
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3-4 Assignment
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Chapter 4 Transformation: the origin of matrix
3
4-1 Linear Transformation
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4-2 Matrix multiplication with vector
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4-3 Assignment
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Chapter 5 Solving Linear system using matrix
6
5-1 intercepts problem
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5-2 Gaussian elimination
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5-3 Column space and null space
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5-4 The cheat: inverse matrix
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5-5 The fundamental theorem of Linear Algebra
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5-6 assignments
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Chapter 6 Matrix and Matrix multiplication
4
6-1 Matrix and matrix multiplication
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6-2 The “Steps” in Gaussian elimination
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6-3 Row Reduced Echelon Form
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6-4 Change the basis
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Chapter 7 Eigenvector, eigenvalue, and Diagonalization
4
7-1 Eigenvalue and Eigenvector
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7-2 Characteristic polynomials
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7-3 Diagonal matrix and transpose
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7-4 Diagonalization
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