Sp11_Quiz3_soln - EGN 3420 Quiz 3 Solution 1 2 1. Given the...

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EGN 3420 Quiz 3 Solution Sp 2011 1. Given the following matrix ܣൌቂ 12 21 (3 pts) its inverse 1 A is a) 1/3 2/3 2/3 െ1/3 b) െ1/3 െ2/3 2/3 െ1/3 c) െ1/3 2/3 2/3 1/3 d) െ1/3 2/3 2/3 െ1/3 e) none of the above 11 11 12 21 22 22 1 , | | = 1 4 3 ()( 1 )( 1 )1 1 2 ) 2 1 2 1 1 Adj ( ) 1 / 3 2 / 3 Adj 2 || 3 cc T AA cof a cof a cof a cof a A A       /3 1/3 2. The system of equations (2 pts) 23 2 5 542 7 5 3 100 xy z z xz   a) is inconsistent b) is consistent with a unique solution c) is consistent with infinite solutions
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23 1 2 5 , 5 4 2 , 75 3 0 1 100 1 3 2 21 || 54 2 2 4 5 0 2 1 (23 ) 1 31 30 1 103 03 1 Ax b A b A            Since ||0 , A the system of equations
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Sp11_Quiz3_soln - EGN 3420 Quiz 3 Solution 1 2 1. Given the...

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