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Unformatted text preview: 7. Consider the matrix A = 1 2 2 3 11 122 1 3 1 1 2 1 . Evaluate det( A ), det( A 2 ) and det( A1 A T ). Answers 1.(a) 1 0 2 5 0 13 5 0 0 ± ± ± ± ± ± ± 6 5 1 5 c3 (b) If c = 3, there are inﬁnitely many solution. If c 6 = 3, the system is inconsistent and there is no solution. (c) x =2 5 α + 6 5 y = 3 5 α + 1 5 z = α . 2. (a) the same as A . (b) the same as A . 3. (a) 0 1 0 0 0 3 2 0 0 . (b) 2 1 15 6 2 62 . 6. 1 0 02 1 0 3 3 1 2 0 1 0 1 2 0 08 7. det( A )=4, det( A 2 )=16 and det( A1 A T )=1...
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 Spring '08
 KIM
 Linear Algebra, Algebra, Row echelon form, Det, A1

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