Transformations

In this chapter, we will learn about:

32. Linear transformations
33. Transformations as vectors
34. Products
35. Polynomials
36. Inverses
37. Matrices
38. Matrices of transformations
39. Invariance
40. Reducibility
41. Projections
42. Combinations of projections
43. Projections and invariance
44. Adjoints
45. Adjoints of projections
46. Change of basis
47. Similarity
48. Quotient transformations
49. Range and null-space
50. Rank and nullity
51. Transformations of rank one
52. Tensor products of transformations
53. Determinants
54. Proper values
55. Multiplicity
56. Triangular form
57. Nilpotence
58. Jordan form