线性代数课后

3 设设设设设设设设设设 1 n n

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3. 设设设设设设设设设设 ( 1) n n 设设设设(设设设设设设设设): (1) 1 2 1 1 1 2 1 1 2 2 1 1 2 1 1 1 1 1 1 n n n n n a a a a b a a a a b a a a a b - - - - - + + + L L L M M M M L ; (2) 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 n n a a a a a a - - - - - L L M M M M M L L . 习习 设设设设设设设设设设(设)设设设设设设设设设. (1) 1 2 1 1 1 2 1 1 2 2 1 1 2 1 1 1 1 1 1 n n n n n a a a a b a a a a b a a a a b - - - - - + + + L L L M M M M L 1 2, i R R i n - = L 1 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 n n a a a b b b - - L L L M M M M L 设设设设 1 2 1 n b b b - L ; (2) 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 n n a a a a a a - - - - - L L M M M M M L L 1 1, 2, , 1 i i C C i n + + = - L
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1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 n a a a n n - - - - - L L M M M M M L L 设设设设 1 2 1 ( 1) n n na a a - - L ; 4. 设设: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ( 1) ( 2) ( 3) ( 1) ( 2) ( 3) ( 1) ( 2) ( 3) ( 1) ( 2) ( 3) a a a a b b b b c c c c d d d d + + + + + + + + + + + + = 0 . 习习 设设设设设设设设设设设设设设设设, 设设设设设设设设设, 设设设设设设. 设设 1 4,3, 2 i i C C i - - = 2 2 2 2 2 1 2 3 2 5 2 1 2 3 2 5 2 1 2 3 2 5 2 1 2 3 2 5 a a a a b b b b c c c c d d d d + + + + + + + + + + + + 4 3 3 2 C C C C - - 2 2 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 a a b b c c d d + + + + = 0 =设设. 5. 设设设设设设设设(设设设设设设设设): (1) ( ) f x = 2 2 1 1 2 3 1 2 2 3 2 2 6 5 2 2 6 9 x x - - ; (2) ( ) f x = 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 x x n x - - - - L L L M M M M M L ( 1) n .
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  • Fall '12
  • peter

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