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II I '10/1/7 1. V = V1 Vr
 

Summary: II I '10/1/7
'10/1/12
K R C
1. V = V1 Vr
2. 1) A On det A = 1
2) A O2
(a) R2
1 V A-
det A = -1 A = E2
(b) det A = -1 R2
= V1V2 V1, V2
A- dim V1 = dim V2 = 1
A R2
V1, V2
3) A O3
(a) R3
= V1 V2 V1, V2 A-
dim V1 = 1
(b) det A = 1 v V1, f(v) = v V1
det A = -1 v V1, f(v) = -v V1

  

Source: Asuke, Taro - Graduate School of Mathematical Sciences, University of Tokyo

 

Collections: Mathematics