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Solve a linear system to determine whether the given vectors u, v, and w are linearly independent or dependent. If they are linearly dependent, find scalars a, b, and c not all zero such that au + bv + cw=0. 5 u= 0 , V= -6 1 -5 W = -5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The vectors u, v, and w are linearly independent. OB. The vectors u, v, and w are linearly dependent, where a = (Simplify your answers.) b= and c= 1, where the value of c is chosen to be equal to 1.

Solve a linear system to determine whether the given vectors u, v, and w are linearly independent or dependent. If they are linearly dependent, find scalars a, b, and c not all zero such that au + bv + cw=0. 5 u= 0 , V= -6 1 -5 W = -5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The vectors u, v, and w are linearly independent. OB. The vectors u, v, and w are linearly dependent, where a = (Simplify your answers.) b= and c= 1, where the value of c is chosen to be equal to 1.

Advanced Engineering Mathematics
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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Solve a linear system to determine whether the given vectors u, v, and w are linearly independent or dependent. If they are linearly dependent, find scalars a, b, and c not all zero such that au+by+cw = 0. 5 6 -8-8-8 H 1 -1 -5 -2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The vectors u, v, and w are linearly independent. OB. The vectors u, v, and w are linearly dependent, where a = (Simplify your answers.) b= ... 3 and c= 1, where the value of c is chosen to be equal to 1.
Transcribed Image Text:Solve a linear system to determine whether the given vectors u, v, and w are linearly independent or dependent. If they are linearly dependent, find scalars a, b, and c not all zero such that au+by+cw = 0. 5 6 -8-8-8 H 1 -1 -5 -2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The vectors u, v, and w are linearly independent. OB. The vectors u, v, and w are linearly dependent, where a = (Simplify your answers.) b= ... 3 and c= 1, where the value of c is chosen to be equal to 1.
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