Let fi = 1+2x + 2x² + 3x³, f2 = 2+3x + 3x² + 4x³, f3 = 3+ 5x + 5æ² + 6x³ and 9i =1+x+x², g2 = 1+x +x°, 93 =1+x² + x³,94 = r+x² + x³. Determine for which g;,1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let
fi = 1+2x + 2x² + 3x³, f2 = 2+ 3r + 3x² + 4x³, f3 = 3+ 5x + 5x² + 6x³
and
91 = 1+x + x², 92 = 1+r+x°, 93 = 1+x² +x°,94 = x +x² +x?.
Determine for which g;, 1 < i < 4, (f1; f2; f3; 9i) spans R3[r]?
Transcribed Image Text:Let fi = 1+2x + 2x² + 3x³, f2 = 2+ 3r + 3x² + 4x³, f3 = 3+ 5x + 5x² + 6x³ and 91 = 1+x + x², 92 = 1+r+x°, 93 = 1+x² +x°,94 = x +x² +x?. Determine for which g;, 1 < i < 4, (f1; f2; f3; 9i) spans R3[r]?
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