Аналитическая геометрия и линейная алгебра. Умнов А.Е. - 158 стр.

UptoLike

Составители: 

Рубрика: 


Ë} ÒÒ}ÈÁË ¯©m©° Ë®äÈËäÈÒ}Òlnj
ÙkÓÈãÒÒ˰}È«˺äË¯Ò«ÒãÒÓË®ÓÈ«ÈãË¯Èµ

äÓºmkp
°¯ºÒäÓº¯äÈãÓÁÓÈäËÓÈãÓ °Ò°Ëä¯ËËÓÒ® ¹º °²ËäËÒ°¹ºãϺmÈÓÓº®
¹¯Òº}ÈÏÈËã°mË˺¯Ëä©˯mºËÓËÏÈmÒ°ÒäºË¯ËËÓÒË
0
0
1
2
1
ÓȲºÒ°«ÒÏ
°Ò°Ëä©
=
=+
2
1
2
21
ξ
ξ
ξ

kÓÈ㺠ÒÓº¹ºãÈ°«mº¯ºËÒ¯ËË¯ËËÓÒ«
0
1
0
2
1

1
0
0
6
5

|}ºÓÈËãÓº ºËË ¯ËËÓÒË Ò°²ºÓº® Ó˺Ӻ¯ºÓº® °Ò°Ëä© m äÈ¯ÒÓºä Ë
äºÎË©ÏȹҰÈÓº}È}
0
0
0
23
16
1
0
0
6
5
0
1
0
2
1
0
0
1
2
1
321
5
4
3
2
1
+
+
+
=
λλλ
ξ
ξ
ξ
ξ
ξ

~ÈäËÈÓÒË
¹º°}ºã} °˰mË °mºº È m©º¯È }È} ȰÓºº ¯ËËÓÒ« Ó˺Ӻ
¯ºÓº® °Ò°Ëä© È} Ò ãÒÓˮӺ ÓËÏÈmÒ°Ò䩲 ¯ËËÓÒ® ºÓº¯ºÓº® º
ºËË¯ËËÓÒËÓ˺Ӻ¯ºÓº® °Ò°Ëä©äºÎË©ÏȹҰÈÓºm¯ÈÏãÒ
Ó©²Óº˰˰mËÓÓº¯ÈmÓº°ÒãÓ©²Áº¯äȲ
 Ë }  Ò Ò    } È Á Ë  ¯ ©   m © °  Ë ®   ä È ˆ Ë ä È ˆ Ò } Ò   l n ‘ j 
ÙkÓÈã҈Ò˰}È«˺äˈ¯Ò«ÒãÒÓË®ÓÈ«ÈãË­¯ÈµäÓºmkp



     °ˆ¯ºÒä Óº¯äÈã ӂ  Á‚ÓÈäËӈÈã ӂ  °Ò°ˆËä‚ ¯Ë ËÓÒ® ¹º °²ËäË Ò°¹ºã ϺmÈÓÓº®
                                                                    1
                                                                   −2
      ¹¯Òº}ÈÏȈËã °ˆmˈ˺¯Ë䩁˯mºËÓËÏÈmÒ°ÒäºË¯Ë ËÓÒË 1 ÓȲº҈°«ÒÏ
                                                                    0
                                                                                                                      0
      °Ò°ˆËä©
      
                                                           ξ1 + ξ 2            =     −1
                                                                                          
                                                                ξ2             = −2
      
      
                                                       1    5
                                                      −2   −6
      kÓÈ㺠ÒÓº¹ºã‚È ˆ°«mˆº¯ºËÒˆ¯Ëˆ Ë¯Ë ËÓÒ« 0  0 
                                                       1    0
                                                                                                0       1
      
      
      |}ºÓȈËã Óº º­ËË ¯Ë ËÓÒË Ò°²ºÓº® Ó˺Óº¯ºÓº® °Ò°ˆËä© m äȈ¯ÒÓºä mÒË
      äºÎˈ­©ˆ ÏȹҰÈÓº}È}
      
                                              ξ1       1      1      5 − 16
                                              ξ2      −2     −2     −6   23
                                              ξ 3 = λ1 1 + λ2 0 + λ3 0 + 0 
                                              ξ4       0      1      0    0
                                              ξ5       0      0      1    0






    ~ÈäËÈÓÒË         ¹º°}ºã }‚ °‚Ë°ˆm‚ˈ °mº­ºÈ m©­º¯È }È} ȰˆÓºº ¯Ë ËÓÒ« Ó˺Óº
                        ¯ºÓº® °Ò°ˆËä© ˆÈ} Ò ãÒÓˮӺ ÓËÏÈmÒ°Ò䩲 ¯Ë ËÓÒ® ºÓº¯ºÓº® ˆº
                        º­ËË¯Ë ËÓÒËÓ˺Óº¯ºÓº®°Ò°ˆËä©äºÎˈ­©ˆ ÏȹҰÈÓºm¯ÈÏãÒ
                        Ó©²Óº˰ˆË°ˆmËÓÓº¯ÈmÓº°Òã Ó©²Áº¯äȲ