Let V be the vector space of polynomials in t of degree ≤ 3. Determine whether the following vectors ⃗u, ⃗v, ⃗w are linear independent or dependent ? ⃗u = t3 − 3t2 + 5t + 1, ⃗v = t3 − t2 + 8t + 2, ⃗w = 2t3 + 4t2 + 9t + 5
Let V be the vector space of polynomials in t of degree ≤ 3. Determine whether the following vectors ⃗u, ⃗v, ⃗w are linear independent or dependent ? ⃗u = t3 − 3t2 + 5t + 1, ⃗v = t3 − t2 + 8t + 2, ⃗w = 2t3 + 4t2 + 9t + 5
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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Let V be the vector space of polynomials in t of degree ≤ 3. Determine whether the
following
⃗u = t3 − 3t2 + 5t + 1, ⃗v = t3 − t2 + 8t + 2, ⃗w = 2t3 + 4t2 + 9t + 5
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