Linear Algebra II (G30 Program): Lecture 1-2 Subspaces, span, basis, etc.

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

Timestamps:
00:40 Definition 1.3 (subspace)
02:40 Example 3
10:10 Proposition 1.4
11:57 Definition 1.5 (span, fin. gen., lin. indep, basis)
18:22 Example 4
24:40 Proposition 1.6
29:20 Lemma 1.7
30:40 Theorem 1.8
38:53 Definition 1.9 (dimension)
39:40 Corollary 1.10
42:23 Proposition 1.11
43:43 Example 5
47:27 Proposition 1.12
48:52 Definition 1.13 (coordinates, coordinate vector)

[vincentmudimeli]

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[achizmatic]

I don't understand why g(x) = x^(d+1)