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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 27EQ

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