2023/24
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2023/24
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76967 Supplementary Math Course -Linear Algebra
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Lecture recording and lectures notes from the 2020...
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Chapter 13 - Recommended Reading: Canonical Forms (Schaum chapter 10)
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Lecture notes
Select activity Lesson 1 lecture notes - Vectors, linear combinations, linear dependence
Lesson 1 lecture notes - Vectors, linear combinations, linear dependence
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Select activity Lesson 2 lecture notes - Matrices and linear transformations
Lesson 2 lecture notes - Matrices and linear transformations
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Select activity Lesson 3 lecture notes - Determinant, trace and the inverse matrix
Lesson 3 lecture notes - Determinant, trace and the inverse matrix
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Select activity Lesson 4 lecture notes - Matrices and sets of linear equations
Lesson 4 lecture notes - Matrices and sets of linear equations
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Select activity Lesson 5-6 lecture notes - Matrix diagonalization
Lesson 5-6 lecture notes - Matrix diagonalization
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Select activity Lesson 7-8 lecture notes - Inner product, projection matrix
Lesson 7-8 lecture notes - Inner product, projection matrix
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Select activity Lesson 9 lecture notes - Vectors and matrices over the complex numbers
Lesson 9 lecture notes - Vectors and matrices over the complex numbers
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Select activity Lesson 10 lecture notes - Vector spaces, inner product spaces
Lesson 10 lecture notes - Vector spaces, inner product spaces
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Select activity Lesson 11 lecture notes - The four fundamental subspaces
Lesson 11 lecture notes - The four fundamental subspaces
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Select activity Lesson 12 lecture notes - Some eigenvalues proofs
Lesson 12 lecture notes - Some eigenvalues proofs
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Select activity Lesson 13 - PCA and SVD
Lesson 13 - PCA and SVD
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Select activity Lesson 14 lecture notes - Course review
Lesson 14 lecture notes - Course review
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Select activity Lecture recordings
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Lecture recordings
Select activity Lecture 1 - Vectors, linear combinations, linear dependence
Lecture 1 - Vectors, linear combinations, linear dependence
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Select activity Matrices and linear transformations
Matrices and linear transformations
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Select activity Lecture 2 - Matrices and linear transformations
Lecture 2 - Matrices and linear transformations
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Select activity The determinant
The determinant
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Select activity Lecture 3 - Determinant, trace and the inverse matrix
Lecture 3 - Determinant, trace and the inverse matrix
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Select activity Systems of linear equations
Systems of linear equations
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Select activity Row picture and column picture in 2D
Row picture and column picture in 2D
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Select activity Lecture 4 - Systems of linear equations
Lecture 4 - Systems of linear equations
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Select activity Lecture 5 - Eigenvalues, Eigenvectors and Matrix diagonalization - Part A
Lecture 5 - Eigenvalues, Eigenvectors and Matrix diagonalization - Part A
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Select activity Lecture 5+6 - 5. Fibonaccci + 6. The dot product and orthogonality - Part A
Lecture 5+6 - 5. Fibonaccci + 6. The dot product and orthogonality - Part A
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Select activity The dot product and orthogonality - part B1
The dot product and orthogonality - part B1
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Select activity The dot product and orthogonality - part B2
The dot product and orthogonality - part B2
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Select activity The least squares solution - a numerical example
The least squares solution - a numerical example
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Select activity Lecture 7 - Complex vectors and matrices
Lecture 7 - Complex vectors and matrices
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Select activity Complex eigenvalues, spiraling dynamics + Vector spaces
Complex eigenvalues, spiraling dynamics + Vector spaces
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Select activity Lecture 8-9 - Inner product spaces + The four fundamental subspaces
Lecture 8-9 - Inner product spaces + The four fundamental subspaces
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Select activity Lecture 9 (continued) - The four fundamental subspaces + Eigenproofs
Lecture 9 (continued) - The four fundamental subspaces + Eigenproofs
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Select activity Lecture 13 - PCA and SVD
Lecture 13 - PCA and SVD
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Select activity Course Review
Course Review
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Chapter 13 - Recommended Reading: Canonical Forms (Schaum chapter 10)
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Previous Exams
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Practice questions before the exam