(a) Show that if f1, . . . , fm are linearly independent
Chapter 6, Problem 29E(choose chapter or problem)
(a) Show that if \(f_{1}, \ldots f_{m}\) are linearly independent on \((-1,1)\), then they are linearly independent on \((-\infty, \infty)\)
(b) Give an example to show that if \(f_{1}, \ldots f_{m}\) are linearly independent on \((-\infty, \infty)\), then they need not be linearly independent on \((-1,1)\)
Equation transcription:
Text transcription:
f{1}, ldots f{m}
(-1,1)
(-infty, infty)
.
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