Summary and Review Exercises On Linear Algebra(07)

Summary and Review Exercises On Linear Algebra(07) - 2007 1...

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2007 年年年年年年年年年年年年年年年年 年年年年年年年 1年 矩矩矩 矩矩矩矩矩矩 ) ,..., 2 , 1 , .( , ) ( , ) ( , ) ( 1 n j i b a C AB C C b B a A n p pj ip ij k m ij k n ij n m ij = = = = = = = × × × 矩矩矩矩矩矩矩 矩矩矩矩矩矩矩 (1) 年年 P297年年 A 年 B 年 n 年年年年年年 AB 年年年年年年年年年年 AB=BA. (2) 年 A 年年年年年年年年年 1 - A 年年年. (p395(12)) 年年年年 年年年年年年年年年年 AB≠BA AX=0年年 A≠ O 年年年年年 X= O AB=AC年年 A≠ O 年年年年年 B=C 年A+B年 2 ≠A 2 +2AB+B 2 年A+B年年A-B年≠A 2 -B 2 A 2 = O 年年年年 A= O A 2 =A 年年年年 A= O 年 A=E 1 ; ) )( 1 ( T T T B A B A + = + ; ) )( 3 ( ; ) )( 2 ( T T T T T A B AB kA kA = = . ) )( 4 ( A A T T =
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矩矩矩矩 [年年年年]p319(年)2,3,7. p395,12,13. [年年年年]p327,7,8. p330,22,24 年年 矩矩矩矩矩矩矩矩矩矩矩矩矩矩 矩矩矩矩 : = = = j i j i A A a n k jk ik ? ? , 0 ; |, | 1 ? ? ? ? ? ? ? ? ? ? ? ? ij ij a A ij ij ij j i ij a M M A ? ? ? , ) 1 ( + - = 年年年年年 年年年年年年年年年年年年年年年年年年年年年年年年年年年年年年 0 矩矩矩矩矩: . | | | | 1 B CA D A D C B A - - = 年年: B A B C O A B O C A = = 矩矩矩矩矩矩 矩矩 年年年年 P315-316年 (1) B A B A = ; (2)年年年年年年年年年年年年 : γ β α , , , , , , 2 1 2 1 + = + (3)年年年年年年年(年)年年年年 (4) A k kA n = (5)年年年年年年年
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This note was uploaded on 03/29/2012 for the course MATH 120 taught by Professor Folh during the Spring '08 term at Eastern Michigan University.

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Summary and Review Exercises On Linear Algebra(07) - 2007 1...

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