1. Determine all values of the constant k for which the vectors (1, 1, k), (0, 2, k), and (1, k,6) are linearly dependent in R3.

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 57E: For which values of t is each set linearly independent? a S={(t,1,1),(1,t,1),(1,1,t)} b...
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20:25 C
1. Determine all values of the constant k for which the
vectors (1,1, k), (0, 2, k), and (1, k, 6) are linearly
dependent in R3.
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Transcribed Image Text:20:25 C 1. Determine all values of the constant k for which the vectors (1,1, k), (0, 2, k), and (1, k, 6) are linearly dependent in R3. Add a caption... > Status (Custom)
20:25 C
1. Let V = Poo be the vector space of polynomials. Is
the set {1+x + x²;1 – x; 1 – x³ } linearly
independent? Prove your claim.
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Transcribed Image Text:20:25 C 1. Let V = Poo be the vector space of polynomials. Is the set {1+x + x²;1 – x; 1 – x³ } linearly independent? Prove your claim. Add a caption... > Status (Custom)
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