math111hw5 - MATH111 HW 5 Due Date: 15th, Oct, 2007 (Mon)...

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Unformatted text preview: MATH111 HW 5 Due Date: 15th, Oct, 2007 (Mon) Please hand in your homework in the tutorial session or by putting it in the collection box outside MATH dept (Rm 3461, Lift 25-26). Ch 3.2 # 10 Find the following determinant by row reduction to echelon form. 1 3- 1- 2 2- 4- 1- 6- 2- 6 2 3 9 3 7- 3 8- 7 3 5 5 2 7 Ch 3.2 # 18 Find the following determinant where a b c d e f g h i = 7. g h i a b c d e f Ch 3.2 # 20 Find the following determinant where a b c d e f g h i = 7. a + d b + e c + f d e f g h i Ch 3.2 # 26 Use determinants to decide if the following set of vectors is linearly inde- pendent. 3 5- 6 4 , 2- 6 7 , - 2- 1 3 , 3 Ch 3.2 # 28 In the following, A and B are n × n matrices. Mark each statement True or False. Justify each answer. a. If two row interchanges are made in succession, then the new deter- minant equals the old determinant....
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This note was uploaded on 04/03/2010 for the course MATH math111 taught by Professor Cheng during the Spring '07 term at HKUST.

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math111hw5 - MATH111 HW 5 Due Date: 15th, Oct, 2007 (Mon)...

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