Explain why A = [43²] and B = [144] -1 -18 form a linearly dependent set of vectors in M22. (Solve this problem by inspection.) O A and B form a linearly dependent set in M22 since B#A. O A and B form a linearly dependent set in M₂2 since any two 2 x 2 matrices form a linearly dependent set. O A and B form a linearly dependent set in M22 since B = 2 A. O A and B form a linearly dependent set in M22 since det (B)# det (A). O A and B form a linearly dependent set in M22 since det(A) and det(B) are not zeros.
Explain why A = [43²] and B = [144] -1 -18 form a linearly dependent set of vectors in M22. (Solve this problem by inspection.) O A and B form a linearly dependent set in M22 since B#A. O A and B form a linearly dependent set in M₂2 since any two 2 x 2 matrices form a linearly dependent set. O A and B form a linearly dependent set in M22 since B = 2 A. O A and B form a linearly dependent set in M22 since det (B)# det (A). O A and B form a linearly dependent set in M22 since det(A) and det(B) are not zeros.
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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![Explain why
A = [43²] and B = [144]
-1
-18
form a linearly dependent set of vectors in M22. (Solve this problem by inspection.)
O A and B form a linearly dependent set in M22 since B#A.
O A and B form a linearly dependent set in M₂2 since any two 2 x 2 matrices form a linearly dependent set.
O A and B form a linearly dependent set in M22 since B = 2 A.
O A and B form a linearly dependent set in M22 since det (B)# det (A).
O A and B form a linearly dependent set in M22 since det(A) and det(B) are not zeros.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb054a102-4185-41f2-bc93-5178e88549a6%2F3d30117b-14fc-4b70-9746-600187c51129%2Fwa1wx7c_processed.png&w=3840&q=75)
Transcribed Image Text:Explain why
A = [43²] and B = [144]
-1
-18
form a linearly dependent set of vectors in M22. (Solve this problem by inspection.)
O A and B form a linearly dependent set in M22 since B#A.
O A and B form a linearly dependent set in M₂2 since any two 2 x 2 matrices form a linearly dependent set.
O A and B form a linearly dependent set in M22 since B = 2 A.
O A and B form a linearly dependent set in M22 since det (B)# det (A).
O A and B form a linearly dependent set in M22 since det(A) and det(B) are not zeros.
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