Fall2011-HW4-soln - Homework 4 Solution Sketches Math 371,...

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Homework 4 Solution Sketches Math 371, Fall 2011 Assigned: Thursday, September 29, 2011 Due: Thursday, October 6, 2011 (1) (Matrix Operations) P. 148 #1, 2, 3, 4, 5, 6, 7, 8, 9 1 a. ± 6 1 8 6 - 1 6 ² 1 b. DNE 2 a. ± 8 11 7 9 17 20 ² 2 b. ± 1 - 3 15 2 - 2 23 ² 3 a. 8 - 4 22 1 - 3 4 - 6 - 2 - 14 3 b. ± 7 - 9 18 - 16 ² 4 a. 2 0 6 - 3 1 5 1 5 10 4 b. 9 14 11 - 8 - 8 2 3 9 12 5 a. 11 3 - 5 - 25 21 - 17 5 b. DNE 6 a. 4 5 - 8 - 9 - 7 19 3 9 6 6 b. 4 1 0 - 5 3 5 9 - 1 10 7 a. 6 7 b. DNE 8 a. ³ 4 2 16 2 - 4 - 2 ´ 8 b. 1 4 13 19 10 22 9 a. 18 6 17 - 5 4 - 30 9 b. 3 - 4 5 1 1 1 0 5 7 (2) (Inverse of a 2 × 2 Matrix) P. 149 #14b 1 a 11 a 22 - a 12 a 21 ³ a 22 - a 12 - a 21 a 11 ´³ a 11 a 12 a 21 a 22 ´ = I, ³ a 11 a 12 a 21 a 22 ´ 1 a 11 a 22 - a 12 a 21 ³ a 22 - a 12 - a 21 a 11 ´ = I. (3) (Singular Matrices) P. 149 #16 a. α = 2 , - 2. b.
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Fall2011-HW4-soln - Homework 4 Solution Sketches Math 371,...

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