HW1 solutions

# HW1 solutions - HW Solution #1 1. For A. A-1= 1 4 0.1 0.4 1...

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HW Solution #1 1. z For A. A -1 = = × × 2 . 0 3 . 0 4 . 0 1 . 0 2 3 4 1 3 4 1 2 1 A -1 A= and AA -1 = . = 1 0 0 1 1 3 4 2 2 . 0 3 . 0 4 . 0 1 . 0 = 1 0 0 1 2 . 0 3 . 0 4 . 0 1 . 0 1 3 4 2 It is shown that A -1 is indeed the inverse of A since A -1 A= AA -1 =I. z For B. |B|= 184 1 10 5 6 ) 1 ( 2 6 10 10 6 ) 1 ( 3 6 1 10 5 ) 1 ( 4 ) 3 1 ( ) 2 1 ( ) 1 1 ( = × + × + × + + + B -1 = 184 ) 6 3 5 4 ( ) 1 ( ) 10 3 1 4 ( ) 1 ( ) 10 5 1 6 ( ) 1 ( ) 2 6 10 4 ( ) 1 ( ) 10 2 6 4 ( ) 1 ( ) 10 10 6 6 ( ) 1 ( ) 2 5 10 3 ( ) 1 ( ) 1 2 6 3 ( ) 1 ( ) 1 10 6 5 ( ) 1 ( 6 5 4 5 4 3 4 3 2 × × × × × × × × × × × × × × × × × × = = 0.01086957 0.14130435 0.2391304 - 0.15217391 - 0.02173913 0.3478261 0.10869565 0.08695652 - 0.1086957 2 26 44 28 4 64 20 16 20 184 1 B -1 B=

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## This note was uploaded on 07/22/2011 for the course STA 4702 taught by Professor Staff during the Spring '08 term at University of Florida.

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HW1 solutions - HW Solution #1 1. For A. A-1= 1 4 0.1 0.4 1...

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