Determine if the columns of the matrix form a linearly independent set.13 - 33 10 -62 843.3 - 19...Select the correct choice below and fill in the answer box to complete your choice.A. The columns are not linearly independent because the reduced row echelon form of [A 0] is100300100 0001 - 4 0OB. The columns are linearly independent because the reduced row echelon form of [A 0of [AO] isSave25

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Answered: T Determine if the columns of the…

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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Find the elementary row operation that transforms the first matrix into the second, and then find the reverse operation that transforms the second matrix into the first.
Determine if the columns of the matrix form a linearly independent set. 1 4 - 3 0 -2 -7 5 1 - 4 - 5 7 5 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The columns of the matrix do not form a linearly independent set because the set contains more vectors, than there are entries in each vector, (Type whole numbers.) O B. The columns of the matrix do not form a linearly independent set because there are more entries in each vector, than there are vectors in the set, (Type whole numbers.) O C. Let A be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, Ax = 0, has only the trivial solution. O D. The columns of the matrix form a linearly independent set because at least one vector in the set is a constant multiple of another.
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