Determine if v is in the set spanned by the columns of B.- 3246 -79.- 4B =V =- 5 1546 - 3 2112...Choose the correct answer below and, if necessary, fill in the answer box(es) to complete your choice.O A. Vector v is not in the set spanned by the columns of B because the columns of B, b1, b2, and b3 are linearly independent.B. Vector v is in the set spanned by the columns of B because the columns of B spanR4.O C. Vector v is not in the set spanned by the columns of B because the reduced echelon form of the matrix formed by writing B with a fourth column equal to v isO D. Vector v is in the set spanned by the columns of B becauseb, +b2 *b3 = v.CO

Answered: Image /qna-images/answer/3c857123-b15d-4458-8b75-22dd1c5ece90.jpg

Answered: Determine if v is in the set spanned by…

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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Could a set of three vectors in R4 span all of R4? Explain. What about n vectors in Rm when n is less than m? Could a set of three vectors in R4 span all of R4? Explain. Choose the correct answer below. O A. No. The matrix A whose columns are the three vectors has four rows. To have a pivot in each row, A would have to have at least four columns (one for each pivot). B. No. There is no way for any number of vectors in R4 to span all of R4. OC. Yes. A set of n vectors in Rm can span Rm when n
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