Consider below presented polynomials v1, v2, v3, v4in P2. v1 = 2t2 + t + 2 v2 =t2 - 2t v3 =5t2 – 5t + 2 v4 =-t2 - 3t – 2 Determine whether the vector v = t2 + t + 2 belong to span {v1, v2, v3, v4}or not.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider below presented polynomials v1, v2, v3, v4in P2.

v1 = 2t2 + t + 2

v2 =t2 - 2t

v3 =5t2 – 5t + 2

v4 =-t2 - 3t – 2

Determine whether the vector v = t2 + t + 2 belong to span {v1, v2, v3, v4}or not.

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