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In Exercises 5-6 an elementary matrix E and a matrix A are given. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A. -1 -2 5 5. a. E = PJ. A 4 = [² 13 1 -6 -6 -6 1 0 0 2 -1 0-4 -4 b. E= 0 1 89. 0 A = 1 -3 -1 5 3 0-3 1 2 013-1, [1 0 c. E= 0 1 47 0 001 A = 2 3 4 5 6 11. a 12. In the 13

In Exercises 5-6 an elementary matrix E and a matrix A are given. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A. -1 -2 5 5. a. E = PJ. A 4 = [² 13 1 -6 -6 -6 1 0 0 2 -1 0-4 -4 b. E= 0 1 89. 0 A = 1 -3 -1 5 3 0-3 1 2 013-1, [1 0 c. E= 0 1 47 0 001 A = 2 3 4 5 6 11. a 12. In the 13

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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1.5 Questions 5, 11 please on paper
a. EB = D b. El c. EB = F d. EF = B In Exercises 9-10, first use Theorem 1.4.5 and then use the inversion algorithm to find A-¹, if it exists. 2 -4 9. a. A = b. A = 2 4 8 6 4 10. a. A = b. A = - 1 - 3 -2 In Exercises 11-12, use the inversion algorithm to find the inverse of the matrix (if the inverse exists). 1 2 3 -1 3 -4 11. a. 2 5 3 b. 2 4 1 1 0 8 -4 2 12. a. In Exercises 13-18, use the inversion algorithm to find the inverse o the matrix (if the inverse exists). √₂ 3√2 0 14. -4√2 1 1 √2 0 13. 0 1 0 0 0 01 0 8. 를 15 15 15 15 15 ST [2 6 1 b. 25 15 SIT vino [1 1 16. 1 T 0 0 3 0 2 C 21 5+ 5/ O
Transcribed Image Text:a. EB = D b. El c. EB = F d. EF = B In Exercises 9-10, first use Theorem 1.4.5 and then use the inversion algorithm to find A-¹, if it exists. 2 -4 9. a. A = b. A = 2 4 8 6 4 10. a. A = b. A = - 1 - 3 -2 In Exercises 11-12, use the inversion algorithm to find the inverse of the matrix (if the inverse exists). 1 2 3 -1 3 -4 11. a. 2 5 3 b. 2 4 1 1 0 8 -4 2 12. a. In Exercises 13-18, use the inversion algorithm to find the inverse o the matrix (if the inverse exists). √₂ 3√2 0 14. -4√2 1 1 √2 0 13. 0 1 0 0 0 01 0 8. 를 15 15 15 15 15 ST [2 6 1 b. 25 15 SIT vino [1 1 16. 1 T 0 0 3 0 2 C 21 5+ 5/ O
C. 4. a. 00 0 1 C. 1 01 -5 0 1 0 1 0 0 0 0 0 1 0 0 E 1 0 0 0 3 го 0 0 1 1 0 - 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1. In Exercises 5-6 an elementary matrix E and a matrix A are given. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A. 0 -1 -2 5 -1 5. a. E = 1}], A = 1 3 -6 -6 -6 1 0 0 [2 -1 0 -4 b. E= 0 1 0 A = 1 -3 -1 5 3 0 -3 1 201 3 -1 [1 0 4 4 c. E = 0 1 0 A = 2 5 1 3 6 -1 6. a. E = 1. = 3 1 0 ----- b. E = -4 1 0 1 A = 0 1 2 LO 0 -6 0 A = d. b. 0 d. 1 -2 -6 O O 0 0 0 1 -6 -1 -3 -4 -4 0 0 5 0 1 3 3 -1 In Exerc algorith 9. a. 10. a. In Ex the m 11. a 12. In E the 13. 15
Transcribed Image Text:C. 4. a. 00 0 1 C. 1 01 -5 0 1 0 1 0 0 0 0 0 1 0 0 E 1 0 0 0 3 го 0 0 1 1 0 - 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1. In Exercises 5-6 an elementary matrix E and a matrix A are given. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A. 0 -1 -2 5 -1 5. a. E = 1}], A = 1 3 -6 -6 -6 1 0 0 [2 -1 0 -4 b. E= 0 1 0 A = 1 -3 -1 5 3 0 -3 1 201 3 -1 [1 0 4 4 c. E = 0 1 0 A = 2 5 1 3 6 -1 6. a. E = 1. = 3 1 0 ----- b. E = -4 1 0 1 A = 0 1 2 LO 0 -6 0 A = d. b. 0 d. 1 -2 -6 O O 0 0 0 1 -6 -1 -3 -4 -4 0 0 5 0 1 3 3 -1 In Exerc algorith 9. a. 10. a. In Ex the m 11. a 12. In E the 13. 15
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