In each part, determine whether the vectors are linearly independent or are linearly dependent in P₂. (a) 5x + 4x²,4 + 9x + 2x²,3 + 3x - 2x² (b) 1+ 5x + 4x², x + 5x²,7 + 4x + 4x²,8 + 3x - x²

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 28E
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In each part, determine whether the vectors are linearly independent or are linearly dependent in P₂.
(a) 5-x+4x²,4 +9x + 2x²,3 + 3x - 2x²
(b) 1+ 5x + 4x², x + 5x²,7 + 4x + 4x²,8 + 3x - x²
Transcribed Image Text:In each part, determine whether the vectors are linearly independent or are linearly dependent in P₂. (a) 5-x+4x²,4 +9x + 2x²,3 + 3x - 2x² (b) 1+ 5x + 4x², x + 5x²,7 + 4x + 4x²,8 + 3x - x²
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