# Linear Algebra with Applications

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• davidvictor
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Name: Tuesday section time: Student ID: 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? A = 1 0 2 3 0 4 5 0 0 0 0 1 0 0 2 3 ANSWER: det( A ) = - fl fl fl fl fl fl fl fl 1 0 2 3 0 4 5 0 0 0 2 3 0 0 0 1 fl fl fl fl fl fl fl fl = - 1 · 4 · 2 · 1 = - 8 . B = 1 1 2 2 - 1 - 1 - 2 - 2 3 - 1 - 1 3 - 3 1 1 - 3 ANSWER: det( B ) = 0, since row 2 is a scalar multiple of row 1. C = 1 - 1 2 2 0 3 7 7 1 0 3 3 2 - 2 4 5 ANSWER: det(
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