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mx – 2y = -1 5. Let m be a real number. Then the solution of the system |r+3my = 2 using Cramer's rule is: -3m+4 3m2+2 9 2m+1 3m2+2 Y = c. r = Sm+4 2m+1 a. r= %3D 3m2+2 -3m+4 3m2+2 2m+1 b. r= %3D 3m2-2 d. None of these

mx – 2y = -1 5. Let m be a real number. Then the solution of the system |r+3my = 2 using Cramer's rule is: -3m+4 3m2+2 9 2m+1 3m2+2 Y = c. r = Sm+4 2m+1 a. r= %3D 3m2+2 -3m+4 3m2+2 2m+1 b. r= %3D 3m2-2 d. None of these

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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mx – 2y = -1 5. Let m be a real number. Then the solution of the system x + 3my = 2 using Cramer's rule is: =3m+4 3m2+2 2m+1 b. x = 3m212: Y 2m+1 3m2+2 -3m+4 3m2 +2 2m+1 3m-2 a. I = C. x = =3m+4 3m2-2 Y = d. None of these 6. The set of all 2 x 2 matrices of the form a. is a vector space. b. is not a vector space because addition is not commutative. c. is not a vector space because it is not closed under addition. 7. The set of all 2 x 2 upper triangular matrices is a subspace of M2,2 . a. True. b. False. 8. W = {(a, b, c) E R³ : 6 = 1 & a + 0} is a subspace of R³. а. True. b. False. 9. S= {(6,2,1), (–1,3, 2)} is: a. a linearly independent set of R³. b. a linearly dependent set of R³. 10. S= {x? + 3x+ 1, 2x² + x – 1,4x + 1} is: a. a linearly independent set of P2. b. a linearly dependent set of P . 11. The set S ={(-4,–3,4), (1, –2, 3), (6,0, 0)} a. spans R3. b. spans R4. c. None of these 12. The set S = is: a. a basis of M2.2. b. not a basis of M2.2. 2
Transcribed Image Text:mx – 2y = -1 5. Let m be a real number. Then the solution of the system x + 3my = 2 using Cramer's rule is: =3m+4 3m2+2 2m+1 b. x = 3m212: Y 2m+1 3m2+2 -3m+4 3m2 +2 2m+1 3m-2 a. I = C. x = =3m+4 3m2-2 Y = d. None of these 6. The set of all 2 x 2 matrices of the form a. is a vector space. b. is not a vector space because addition is not commutative. c. is not a vector space because it is not closed under addition. 7. The set of all 2 x 2 upper triangular matrices is a subspace of M2,2 . a. True. b. False. 8. W = {(a, b, c) E R³ : 6 = 1 & a + 0} is a subspace of R³. а. True. b. False. 9. S= {(6,2,1), (–1,3, 2)} is: a. a linearly independent set of R³. b. a linearly dependent set of R³. 10. S= {x? + 3x+ 1, 2x² + x – 1,4x + 1} is: a. a linearly independent set of P2. b. a linearly dependent set of P . 11. The set S ={(-4,–3,4), (1, –2, 3), (6,0, 0)} a. spans R3. b. spans R4. c. None of these 12. The set S = is: a. a basis of M2.2. b. not a basis of M2.2. 2
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