线性代数课后

线性代数课后

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习习 1.4 1. 计计计计计计计(计计计计计计计计): (1) 0 0 0 0 0 0 0 0 0 0 x a b c y d e z f g h k u l v ; (2) 1 1 1 1 2 3 4 1 3 4 1 2 4 1 2 3 ; (3) 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 a b c d e e d c b a ; (4) 1 2 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 n n a a a a a - L L L M M M M M L L ; (5) 1 2 3 1 1 1 2 2 1 2 3 2 2 2 2 1 2 3 2 2 2 3 3 1 2 3 3 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 x x x a b c a b x x x c x x x a b x x x c ; (6) 2 3 1 1 1 1 1 2 2 1 4 4 1 8 8 x x x - - ; (7) 2 2 2 a b c a b c b c c a a b + + + 习习 计(1)计计(4)计计计计计计计, 计(5)计计(8)计计计计计计计计计计计. (1) 0 0 0 0 0 0 0 0 0 0 x a b c y d e z f g h k u l v 5 计计计计计 0 0 0 0 0 0 x a b y v e z g h k u 计计 4 计计计 0 0 0 x a b vu y e z 计计 1 计计计 0 y xuv e z = xyzuv ; (2) 1 1 1 1 2 3 4 1 3 4 1 2 4 1 2 3 1 4,3, 2 i i R R i - - = 1 1 1 1 1 2 3 0 1 1 3 1 1 3 1 1 - - 1 2,3, 4 i R R i - = 1 1 1 1 0 1 2 1 0 0 4 0 0 4 0 0 - - - 计计 1 计计计 1 2 1 0 4 0 4 0 0 - - - 1.2 7 (4) - 计计计计 3(3 1) 2 ( 1) ( 1)( 4)( 4) - - - - - = 16 ;
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(3) 习习习 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 a b c d e e d c b a 计计 1 计计计 1 0 0 0 0 1 0 0 0 0 1 0 a d c b a + 5 1 1 0 0 0 ( 1) 0 1 0 0 0 0 1 0 b c d e e + - 2 计计计计计计 4 计计计 2 4 1 1 0 0 ( 1) 0 1 0 0 0 1 a e e + + - = 2 2 a e - ; 习习习 计计计计计 2 计计计计计计计计计, 计计计计计计计计计. (4)计计计计 2 计计计 1 2 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 n n a a a a a - L L L M M M M M L L = 1 3 2 0 1 0 0 1 0 n a a a a L L M M M L = = L 1 2 3 1 1 1 n n a a a a a - L = 2 3 1 1 ( 1) n n a a a a a - - L ; (5) 1 2 3 1 1 1 2 2 1 2 3 2 2 2 2 1 2 3 2 2 2 3 3 1 2 3 3 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 x x x a b c a b x x x c x x x a b x x x c 36 C 1 2 3 1 1 1 2 2 2 2 3 1 2 2 2 1
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