:: A Theory of Matrices of Real Elements
:: by Yatsuka Nakamura , Nobuyuki Tamura and Wenpai Chang
::
:: Received February 20, 2006
:: Copyright (c) 2006 Association of Mizar Users
theorem :: MATRIXR1:1
theorem :: MATRIXR1:2
theorem Th3: :: MATRIXR1:3
theorem :: MATRIXR1:4
theorem :: MATRIXR1:5
theorem :: MATRIXR1:6
theorem :: MATRIXR1:7
theorem :: MATRIXR1:8
theorem :: MATRIXR1:9
theorem :: MATRIXR1:10
theorem :: MATRIXR1:11
theorem :: MATRIXR1:12
theorem :: MATRIXR1:13
theorem Th14: :: MATRIXR1:14
theorem :: MATRIXR1:15
theorem Th16: :: MATRIXR1:16
theorem Th17: :: MATRIXR1:17
theorem :: MATRIXR1:18
theorem Th19: :: MATRIXR1:19
theorem :: MATRIXR1:20
theorem :: MATRIXR1:21
theorem Th22: :: MATRIXR1:22
:: deftheorem defines MXR2MXF MATRIXR1:def 1 :
:: deftheorem defines MXF2MXR MATRIXR1:def 2 :
theorem :: MATRIXR1:23
theorem :: MATRIXR1:24
:: deftheorem defines + MATRIXR1:def 3 :
theorem Th25: :: MATRIXR1:25
theorem Th26: :: MATRIXR1:26
:: deftheorem defines - MATRIXR1:def 4 :
:: deftheorem defines - MATRIXR1:def 5 :
:: deftheorem defines * MATRIXR1:def 6 :
:: deftheorem Def7 defines * MATRIXR1:def 7 :
theorem Th27: :: MATRIXR1:27
theorem Th28: :: MATRIXR1:28
theorem Th29: :: MATRIXR1:29
theorem Th30: :: MATRIXR1:30
theorem :: MATRIXR1:31
theorem :: MATRIXR1:32
theorem :: MATRIXR1:33
theorem :: MATRIXR1:34
:: deftheorem defines 0_Rmatrix MATRIXR1:def 8 :
theorem :: MATRIXR1:35
theorem Th36: :: MATRIXR1:36
theorem :: MATRIXR1:37
theorem :: MATRIXR1:38
theorem :: MATRIXR1:39
theorem Th40: :: MATRIXR1:40
theorem :: MATRIXR1:41
theorem :: MATRIXR1:42
theorem :: MATRIXR1:43
theorem :: MATRIXR1:44
:: deftheorem Def9 defines ColVec2Mx MATRIXR1:def 9 :
theorem :: MATRIXR1:45
theorem Th46: :: MATRIXR1:46
theorem Th47: :: MATRIXR1:47
:: deftheorem Def10 defines LineVec2Mx MATRIXR1:def 10 :
theorem :: MATRIXR1:48
theorem Th49: :: MATRIXR1:49
theorem Th50: :: MATRIXR1:50
theorem :: MATRIXR1:51
:: deftheorem defines * MATRIXR1:def 11 :
:: deftheorem defines * MATRIXR1:def 12 :
theorem Th52: :: MATRIXR1:52
theorem Th53: :: MATRIXR1:53
theorem Th54: :: MATRIXR1:54
theorem Th55: :: MATRIXR1:55
theorem Th56: :: MATRIXR1:56
theorem :: MATRIXR1:57
theorem :: MATRIXR1:58
theorem Th59: :: MATRIXR1:59
theorem :: MATRIXR1:60
theorem Th61: :: MATRIXR1:61
theorem Th62: :: MATRIXR1:62
theorem Th63: :: MATRIXR1:63
theorem Th64: :: MATRIXR1:64
theorem :: MATRIXR1:65
theorem :: MATRIXR1:66