0:00 The First Homomorphism Theorem
13:02 Example of application of the 1st Homomorphism Theorem
18:57 The Second Homomorphism Theorem
28:07 The Third Homomorphism Theorem
38:27 U + W / W ≅ U / U ∩ W
44:40 (V/W) / (U/W) ≅ V/U
In this lecture, we prove three homomorphism theorems. These powerful theorems allow us to construct linear transformations between quotient spaces.
This is a lecture in the "Linear Algebra" course for students specializing in mathematics.