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Unformatted text preview: Name: Student ID: Tuesday section time: Math 20F  Linear Algebra  Winter 2003 Quiz #3  January 28 (Do not discuss quiz with students who haven't taken it yet until 8:00pm.) 1. What are the determinants of the following three matrices? 1 0 2 3 0 4 5 0 A= 0 0 0 1 0 0 2 3 1 0 ANSWER: det(A) =  0 0 1 1 2 2 1 1 2 2 B= 3 1 1 3 3 1 1 3 ANSWER: 1 1 2 0 3 7 C= 1 0 3 2 2 4 ANSWER: 1 1 2 2 0 3 7 7 0 1 1 1 2 2 4 5 1 1 2 2 0 3 7 7 0 1 1 1 0 0 0 1 1 1 2 2 0 1 1 1 = (1) 0 3 7 7 0 0 0 1 0 4 0 0 2 5 2 0 3 0 3 1 = 1 4 2 1 = 8. det(B) = 0, since row 2 is a scalar multiple of row 1. 2 7 3 5 det(C) = = 1 1 2 2 0 1 1 1 = (1) 0 0 4 4 0 0 0 1 =  1 1 4 1 =  4. ...
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This homework help was uploaded on 01/23/2008 for the course MATH 20F taught by Professor Buss during the Winter '03 term at UCSD.
 Winter '03
 BUSS
 Linear Algebra, Algebra, Determinant, Matrices

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