5 Let v, = 0 . v, = and w= 1 Is w in the subspace spanned by {v,. V2. V3)? Why? Choose the correct answer below. O A. Vector w is in the subspace spanned by {v1, V2. v3) because the subspace generated by v,, V2, and v3 is R. O B. Vector w is in the subspace spanned by (v,, v2. V3) because w is a linear combination of v1. V2, and v3 O C. Vector w is not in the subspace spanned by {v1. V2, V3) because the equation x, v, +X2V2 + X3V3 = w has no solution which can be seen because an echelon form of the augmented matrix of the system has a row of the form [0 ... 0 b] with b 0. O D. Vector w is not in the subspace Span{v,. V2, V3) because the rightmost column of the augmented matrix of the system x, v, + X2V2 +X3V3 = w is not a pivot column.

5 Let v, = 0 . v, = and w= 1 Is w in the subspace spanned by {v,. V2. V3)? Why? Choose the correct answer below. O A. Vector w is in the subspace spanned by {v1, V2. v3) because the subspace generated by v,, V2, and v3 is R. O B. Vector w is in the subspace spanned by (v,, v2. V3) because w is a linear combination of v1. V2, and v3 O C. Vector w is not in the subspace spanned by {v1. V2, V3) because the equation x, v, +X2V2 + X3V3 = w has no solution which can be seen because an echelon form of the augmented matrix of the system has a row of the form [0 ... 0 b] with b 0. O D. Vector w is not in the subspace Span{v,. V2, V3) because the rightmost column of the augmented matrix of the system x, v, + X2V2 +X3V3 = w is not a pivot column.

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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