Linear Algebra II (G30 Program): Lecture 2: Linear maps

This is the second Lecture for the Linear Algebra II in the G30 Program at Nagoya University.

Timestamps:
02:24 Definition 2.1 (Linear map)
05:44 Definition 2.2 (Kernel & Image)
09:03 Theorem 2.3 (kernel-image theorem)
15:20 Example 6
23:21 Definition 2.4 (invertible, isomorphism, isomorphic)
27:11 Theorem 2.5
30:39 Example 7
33:55 Proposition 2.6 (coordinate map)
36:57 Corollay 2.7

Slip of the tongue corrections:
10:44 V = domain, W = codomain
16:40 f(x)=|x| is contained in C^0(R,R) (but not in one of the C^n if n is larger than 0).