Determine whether the given vector functions are linearly dependent or linearly independent on the interval (- o,0). HE 2t 2t sin t sin t 2t sin t Selett ne Comeci Choice below, and im he answer box to cOMpiete your CTOICE. O A. The vector functions are linearly dependent since there exists constants c,, C,, and c3, not all 0, such that 2t 2t + C3 + C2 2t sin t = 0 for all t in I. In particular, c, C1 sin t C2 = + C3 = sin t O B. The vector functions are linearly independent since there exists constants c,, C2, and ca, not all 0, such that sin t |= 0 for all t in I. In particular, c, sin t 2t 2t C1 sin t + C2 + C3 C2 = C3 = 2t OC. The vector functions are linearly dependent since there is only one combination of c1, c2, and c3 that satisfy the
Determine whether the given vector functions are linearly dependent or linearly independent on the interval (- o,0). HE 2t 2t sin t sin t 2t sin t Selett ne Comeci Choice below, and im he answer box to cOMpiete your CTOICE. O A. The vector functions are linearly dependent since there exists constants c,, C,, and c3, not all 0, such that 2t 2t + C3 + C2 2t sin t = 0 for all t in I. In particular, c, C1 sin t C2 = + C3 = sin t O B. The vector functions are linearly independent since there exists constants c,, C2, and ca, not all 0, such that sin t |= 0 for all t in I. In particular, c, sin t 2t 2t C1 sin t + C2 + C3 C2 = C3 = 2t OC. The vector functions are linearly dependent since there is only one combination of c1, c2, and c3 that satisfy the
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 9CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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