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0 2 B = 2 1 -4 4 c=| _-3 -2 C a = 4, b = -7 . The associative law for matrix addition. The associative law for matrix multiplication. The left distributive law. (a + b)C= aC + bc a(BC) = (aB)C = B(aC) A(B-C) = AB - AC c. (B+C)A = BA + CA a(bC) = (ab)C ercises 3-4, verify that the matrices and scalars in Exercise 1 - the stated properties. 11

0 2 B = 2 1 -4 4 c=| _-3 -2 C a = 4, b = -7 . The associative law for matrix addition. The associative law for matrix multiplication. The left distributive law. (a + b)C= aC + bc a(BC) = (aB)C = B(aC) A(B-C) = AB - AC c. (B+C)A = BA + CA a(bC) = (ab)C ercises 3-4, verify that the matrices and scalars in Exercise 1 - the stated properties. 11

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 27E
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F1.4 question 3 on paper please
A ^= |2 - B=(-4) c=[ 3-4 C= 10. Find a = 4, b = -7 a. The associative law for matrix addition. b. The associative law for matrix multiplication. In Exerc ces in E c. The left distributive law. 11. (A d. (a + b)C = aC + bc 13. (A a. a(BC) = (aB)C = B(aC) In Exe b. A(B-C) = AB - AC c. (B+C)A = BA + CA 15. (7 d. a(bC) = (ab)C 17. ( In Exercises 3-4, verify that the matrices and scalars in Exercise 1 satisfy the stated properties. In E 3. a. (AT)¹ = A b. (AB)T = BTAT b. (aC)¹ = aCT 4. a. (A + B)T = AT + BT 19. In In Exercises 5-8, use Theorem 1.4.5 to compute the inverse of the matrix. fol 6. B 5. A = 6 D = [-2 -1] c = [33] 1. 2. 7. C 11 8. D =
Transcribed Image Text:A ^= |2 - B=(-4) c=[ 3-4 C= 10. Find a = 4, b = -7 a. The associative law for matrix addition. b. The associative law for matrix multiplication. In Exerc ces in E c. The left distributive law. 11. (A d. (a + b)C = aC + bc 13. (A a. a(BC) = (aB)C = B(aC) In Exe b. A(B-C) = AB - AC c. (B+C)A = BA + CA 15. (7 d. a(bC) = (ab)C 17. ( In Exercises 3-4, verify that the matrices and scalars in Exercise 1 satisfy the stated properties. In E 3. a. (AT)¹ = A b. (AB)T = BTAT b. (aC)¹ = aCT 4. a. (A + B)T = AT + BT 19. In In Exercises 5-8, use Theorem 1.4.5 to compute the inverse of the matrix. fol 6. B 5. A = 6 D = [-2 -1] c = [33] 1. 2. 7. C 11 8. D =
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