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Vector spaces and subspaces
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Classroom Contents
Introducing Linear Algebra
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- 1 Mathematics vlog
- 2 Systems of linear equations
- 3 Systems of linear equations with infinite and with no solutions
- 4 Elementary row operations
- 5 Matrix addition
- 6 Matrix multiplication
- 7 Introduction to vectors
- 8 Vector addition
- 9 Unit vectors
- 10 Dot product of two vectors
- 11 Vector cross product
- 12 Matrix vector multiplication
- 13 Identity matrices
- 14 Inverse matrices
- 15 Finding the inverse of a 2x2 matrix
- 16 Column view of a matrix
- 17 Elementary matrices
- 18 LU decomposition of matrices
- 19 Transpose of matrices
- 20 Vector spaces and subspaces
- 21 Column space of a matrix
- 22 Spanning a subspace
- 23 Null space of a matrix
- 24 Null space of a matrix example
- 25 Null space examples
- 26 Tutorial on points and vectors in linear algebra
- 27 Tutorial on vector arithmetic in linear algebra
- 28 Example problems on points and vectors in linear algebra
- 29 Introduction to Euclidean vector spaces with Julia
- 30 Tutorial on matrices with help from Julia
- 31 Solving linear systems using elementary row operations with Julia
- 32 Ordinary Least Squares Tutorial using Python
- 33 Gram Schmidt process for QR decomposition using Julia
