Let y1 and y2 be two functions defined on (a) True or

QUESTION:

Let \(y_{1}\) and \(y_{2}\) be two functions defined on \((-\infty, \infty)\).
(a) True or False: If \(y_{1}\) and \(y_{2}\) are linearly dependent on the interval \({[a, b]}\), then \(y_{1}\) and \(y_{2}\) are linearly dependent on the smaller interval \({[c, d] \subset[a, b]}\)
(b) True or False: If \(y_{1}\) and \(y_{2}\) are linearly dependent on the interval \({[a, b]}\), then \(y_{1}\) and \(y_{2}\) are linearly dependent on the larger interval \([C, D] \supset[a, b]\).

Equation Transcription:

Text Transcription:

y_{1}

y_{2}

-infinity, infinity

y_{1}

y_{2}

[a,b]

y_{1}

y_{2}

[c,d]subset[a,b]

y_{1}

y_{2}

[a,b]

y_{1}

y_{2}

[C,D]supset[a,b]