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Find all the values of k for which the following system of polynomials P1 (t) = 7+ (k – 1)2 + 8t2 +t, p2(t) = 4 + 4t2 + 2t³, %3D %3D Pa(t) = -k+1-9t – 2t?, p4(t) = t3 %3D %3D is linearly independent:

Find all the values of k for which the following system of polynomials P1 (t) = 7+ (k – 1)2 + 8t2 +t, p2(t) = 4 + 4t2 + 2t³, %3D %3D Pa(t) = -k+1-9t – 2t?, p4(t) = t3 %3D %3D is linearly independent:

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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Find all the values of k for which the following system of polynomials pi (t) = 7+ (k – 1)² + 8t? + t°, P2(t) = 4 + 4t2 + 2t°, P3(t) = -k+1- 9t – 2t?, p4(t) = t3 is linearly independent: Select one alternative: Ok 2 O none of them O k= 0, k = 2 O k+ 0, k+2 Ok=0 Reset
Transcribed Image Text:Find all the values of k for which the following system of polynomials pi (t) = 7+ (k – 1)² + 8t? + t°, P2(t) = 4 + 4t2 + 2t°, P3(t) = -k+1- 9t – 2t?, p4(t) = t3 is linearly independent: Select one alternative: Ok 2 O none of them O k= 0, k = 2 O k+ 0, k+2 Ok=0 Reset
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