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  5. Lecture recording and lectures notes from the 2020...
  6. Lecture 1 - Vectors, linear combinations, linear d...

Lecture 1 - Vectors, linear combinations, linear dependence

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      • 76967 Supplementary Math Course -Linear Algebra

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          • General

          • General notes

          • References

          • Chapter 1: Vectors in Rn, Cn, Spatial vectors (Sch...

          • Chapter 2: Algebra of Matrices (Schaum chapter 2)

          • Chapter 3: Systems of Linear Equations (Schaum cha...

          • Intermediate reading (No bullshit guide to Linear ...

          • Chapter 4: Vector Spaces (Schaum chapter 4)

          • Chapter 5: Linear Mappings (Schaum chapter 5)

          • Chapter 6: Linear Mappings and Matrices (Schaum ch...

          • Chapter 7: Inner Product Spaces, Orthogonality (Sc...

          • Chapter 8: Determinants (Schaum chapter 8)

          • Chapter 9: Diagonalization: Eigenvalues and Eigenv...

          • Chapter 10: Diagonalization of Symmetric Matrices,...

          • Chapter 11: Matrix decomposition and Least Squares...

          • Chapter 12 - Recommended Reading: Least-square Pro...

          • Chapter 13 - Recommended Reading: Canonical Forms ...

          • Lecture recording and lectures notes from the 2020...

            • FileLesson 1 lecture notes - Vectors, linear combinati...

            • FileLesson 2 lecture notes - Matrices and linear trans...

            • FileLesson 3 lecture notes - Determinant, trace and th...

            • FileLesson 4 lecture notes - Matrices and sets of line...

            • FileLesson 5-6 lecture notes - Matrix diagonalization

            • FileLesson 7-8 lecture notes - Inner product, projecti...

            • FileLesson 9 lecture notes - Vectors and matrices over...

            • FileLesson 10 lecture notes - Vector spaces, inner pro...

            • FileLesson 11 lecture notes - The four fundamental sub...

            • FileLesson 12 lecture notes - Some eigenvalues proofs

            • FileLesson 13 - PCA and SVD

            • FileLesson 14 lecture notes - Course review

            • URLLecture 1 - Vectors, linear combinations, linear d...

            • URLMatrices and linear transformations

            • URLLecture 2 - Matrices and linear transformations

            • URLThe determinant

            • URLLecture 3 - Determinant, trace and the inverse matrix

            • URLSystems of linear equations

            • URLRow picture and column picture in 2D

            • URLLecture 4 - Systems of linear equations

            • URLLecture 5 - Eigenvalues, Eigenvectors and Matrix d...

            • URLLecture 5+6 - 5. Fibonaccci + 6. The dot product a...

            • URLThe dot product and orthogonality - part B1

            • URLThe dot product and orthogonality - part B2

            • URLThe least squares solution - a numerical example

            • URLLecture 7 - Complex vectors and matrices

            • URLComplex eigenvalues, spiraling dynamics + Vector s...

            • URLLecture 8-9 - Inner product spaces + The four fund...

            • URLLecture 9 (continued) - The four fundamental subsp...

            • URLLecture 13 - PCA and SVD

            • URLCourse Review

          • Practice questions before the exam

          • Previous Exams

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