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Consider the matrices A1 A2 A, - || Let S = {A1, A2, A3 }. Which one of the following statements is correct? S is linearly independent, but does not span M22 . а. O b. S is a subspace of M22, but is not a basis for M22 . c. S spans M22, but is not linearly independent. O d. S is a basis for M22, but not a subspace of M22. O e. S is a subspace of M22, and is linearly independent.

Consider the matrices A1 A2 A, - || Let S = {A1, A2, A3 }. Which one of the following statements is correct? S is linearly independent, but does not span M22 . а. O b. S is a subspace of M22, but is not a basis for M22 . c. S spans M22, but is not linearly independent. O d. S is a basis for M22, but not a subspace of M22. O e. S is a subspace of M22, and is linearly independent.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the matrices A1 A2 A3 Let S = {A1, A2, A3 }. Which one of the following statements is correct? S is linearly independent, but does not span M22. а. O b. S is a subspace of M22, but is not a basis for M22. c. S spans M22, but is not linearly independent. O d. S is a basis for M22, but not a subspace of M22. e. S is a subspace of M22, and is linearly independent.
Transcribed Image Text:Consider the matrices A1 A2 A3 Let S = {A1, A2, A3 }. Which one of the following statements is correct? S is linearly independent, but does not span M22. а. O b. S is a subspace of M22, but is not a basis for M22. c. S spans M22, but is not linearly independent. O d. S is a basis for M22, but not a subspace of M22. e. S is a subspace of M22, and is linearly independent.
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