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. u= V= "=[:] D W= ~=[:] 4) The vectors u, v, and w are linearly independent OR 3) The vectors u, v, and w where a= b= the value of c is (please Simplify your answer). are linearly dependent, C = 1, where Choosen to be equal to 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
-3
u=
=
W=
@ @ @
W-[:]
A) The vectors u, v, and w are linearly independent.
OR
B) The vectors u, v,
where a=
the value of
1
c is
(please Simplify your answer)
linearly dependent,
and C=1, where
choosen to be equal to 1.
and w
b=
are
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. -3 u= = W= @ @ @ W-[:] A) The vectors u, v, and w are linearly independent. OR B) The vectors u, v, where a= the value of 1 c is (please Simplify your answer) linearly dependent, and C=1, where choosen to be equal to 1. and w b= are
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