Consider the matrices Aj = A2 = Az = A4 = A5 = A6 = Let S = {A1, A2, A3, A4, A5, A6}. Which one of the following statements is correct? S is linearly independent, but does not span M22. O b. S spans M22, but is not linearly independent. S is a subspace of M22, and is linearly independent. S is a basis for M22, but not a subspace of M22 - Oa. Oc. Od. Oe. S is a subspace of M22, but is not a basis for M22 - 으으

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
0.
A2 =
Аз
A4
1
A5
A6
Let S = {A1, A2, A3, A4, A5, A6}.
Which one of the following statements is correct?
O a. S is linearly independent, but does not span M22 .
O b. S spans M22, but is not linearly independent.
S is a subspace of M22, and is linearly independent.
Ос.
O d. S is a basis for M22, but not a subspace of M22 .
O e. S is a subspace of M22, but is not a basis for M22.
Transcribed Image Text:Consider the matrices A1 0. A2 = Аз A4 1 A5 A6 Let S = {A1, A2, A3, A4, A5, A6}. Which one of the following statements is correct? O a. S is linearly independent, but does not span M22 . O b. S spans M22, but is not linearly independent. S is a subspace of M22, and is linearly independent. Ос. O d. S is a basis for M22, but not a subspace of M22 . O e. S is a subspace of M22, but is not a basis for M22.
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