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Dimension and Isomorphism
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Classroom Contents
Linear Transformations
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- 1 Linear Transformations
- 2 Graph of a linear transformation
- 3 Nullspace is a subspace
- 4 Are derivatives linearly independent ?
- 5 Range and Linear Independence
- 6 One to one and linear independence
- 7 Symmetrization
- 8 Rank Nullity Theorem
- 9 Linear Extension Theorem
- 10 Linear transformation with given range
- 11 Coordinates
- 12 Derivative in a box
- 13 Matrix of a matrix
- 14 Matrix with respect to a basis
- 15 Pseudo diagonalization
- 16 Matrix Multiplication
- 17 Matrix Multiplication Derivation
- 18 ABBA
- 19 A^2 = A
- 20 A^2 = I
- 21 A^2 = 0
- 22 Isomorphism
- 23 Left and right inverse
- 24 Dimension and Isomorphism
- 25 Inverse Matrix
- 26 Inverse Transformation
- 27 Miracle of Linear Algebra
- 28 Linear Algebra Derivative
- 29 Change of coordinates
- 30 Change of Matrix
- 31 Reflection about y = 2x
- 32 Projection on y = 2x
- 33 Integrate via change of coordinates
