Transcribed Image Text: Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision.

Excerpt
solution C1 C2 = – 1, and C3 =. (Type integers or simplified fractions.) B. The functions are linearly independent because c, (6x) + C2x e* + c3 (6) = 0 has no solutions for constants c4, c2, and Cz that are not all zero.

Transcribed Image Text: Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your
decision.
{6х, хе *, 6} on ( – о, 00)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The functions are linearly dependent because c, (6x) + C2x e* + C3 (6) = 0 has the solution
C1
C2 = – 1, and
C3 =.
(Type integers or simplified fractions.)
B. The functions are linearly independent because c, (6x) + C2x e* + c3 (6) = 0 has no solutions for constants c4, c2, and
Cz that are not all zero.

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