HW8 - Math 3013 Homework Set 8 Problems from 4.1(pgs...

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Unformatted text preview: Math 3013 Homework Set 8 Problems from § 4.1 (pgs. 248-249 of text): 6,7,8,9,12,19 Problems from § 4.2 (pgs. 261-263 of text): 1,3,5,7,11,15,17,19,21 Problems from § 4.3 (pgs. 271-273 of text): 1,3,5,7,9,15,17,24,29 1. (Problems 4.1.6, 4.1.7, 4.1.8, and 4.1.9 in text) Calculate the following determinants. (a) 1 4- 2 5 13 2- 1 3 (b) 2- 5 3 1 3 4- 2 3 7 (c) 1- 2 7 1 4 1 3 (d) 2- 1 1- 1 3 2 1- 4 2. (Problem 4.1.12 in text) Show by direct calculation that a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 =- a 1 a 2 a 3 c 1 c 2 c 3 b 1 b 2 b 3 3. (Problem 4.1.19 in text) Mark each of the following True or False . (a) The determinant of a 2 × 2 matrix is a vector. (b) If two rows of a 3 × 3 matrix are interchanged, the sign of the determinant is changed. (c) The determinant of a 3 × 3 matrix is zero if two rows of the matrix are parallel vectors in R 3 . (d) In order for the determinant of a 3 × 3 matrix to be zero, two rows must be parallel vectors in R 3 ....
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HW8 - Math 3013 Homework Set 8 Problems from 4.1(pgs...

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