quiz 3 answers

Linear Algebra with Applications

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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.

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