In each part express the vector as a linear combination of ~p1 = 2 + x + 4x 2, ~p2 = 1 - x + 3x 2, and ~p3 = 3 + 2x + 5x 2. i. -97x15x 2 ii. 6 + 11x + 6x 2 iii. O iv. 7 + 8x + 9x 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 28E
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In each part express the vector as a
linear combination of
~p1 = 2 + x + 4x 2, ~p2 = 1 − x + 3x 2,
and ~p3 = 3 + 2x + 5x 2.
i. -97x15x 2
ii. 6 + 11x + 6x 2
iii. O
iv. 7 + 8x + 9x 2
Transcribed Image Text:In each part express the vector as a linear combination of ~p1 = 2 + x + 4x 2, ~p2 = 1 − x + 3x 2, and ~p3 = 3 + 2x + 5x 2. i. -97x15x 2 ii. 6 + 11x + 6x 2 iii. O iv. 7 + 8x + 9x 2
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