Quiz+18+solution

Quiz+18+solution - MATH 17100 28446 Quiz 18 solution 11/23/...

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MATH 17100 28446 Quiz 18 solution 11/23/ 2009 1. For the matrices A and B given below, find the inverse, if it exists, by (i) Row reduction method (ii) Adjoint method A = 23 1 3 4 3 1 0 31 1 1 2 det 1 1 2 2( 1) 2(3 3) 0 3 1 0 3 1 0    A A has no inverse B = 32 1 0 1 11 1 1 0 1( 1) [0 ( 1)] 1 10 0 1 0          B 1 B exists (i) Row reduction method: 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 [ | ] 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 BI 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 [ | ] 0 0 1 1 1 1 0 0 1 1 1 1 IB 1 0 1 1 0 0 1 1 1 1  B (ii) Adjoint method: Cofactor matrix, C = 0 0 (0 0) 1 0 0 0 1 1) 0 0 (1 1 0 1 0 1 ( 1)] 1 0 1 1 1  
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Quiz+18+solution - MATH 17100 28446 Quiz 18 solution 11/23/...

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