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In the vector space of all real valued functions, find O (1+cos 2t, cost sint, cos² t) O (sin 2t, 1+ cos 2t, cost sin t} O (cost sint, cos² t} O (sin 2t, 1+ cos 2t, cos² t} O {1+cos 2t, cos² t} O (sin 2t, cost sint}

In the vector space of all real valued functions, find O (1+cos 2t, cost sint, cos² t) O (sin 2t, 1+ cos 2t, cost sin t} O (cost sint, cos² t} O (sin 2t, 1+ cos 2t, cos² t} O {1+cos 2t, cos² t} O (sin 2t, cost sint}

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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In the vector space of all real valued functions, find a basis for the subspace spanned by (sin 2t, 1 + cos 2t, cost sint, cos² t} O (1+cos 2t, cost sint, cos² t) O (sin 2t, 1+ cos 2t, cost sint} O (cost sint, cost} O (sin 2t, 1+ cos 2t, cos² t} O {1+cos 2t, cos² t} O (sin 2t, cost sin t}
Transcribed Image Text:In the vector space of all real valued functions, find a basis for the subspace spanned by (sin 2t, 1 + cos 2t, cost sint, cos² t} O (1+cos 2t, cost sint, cos² t) O (sin 2t, 1+ cos 2t, cost sint} O (cost sint, cost} O (sin 2t, 1+ cos 2t, cos² t} O {1+cos 2t, cos² t} O (sin 2t, cost sin t}
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