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denote the vector space of polynomials of degree up to 2. Which of the following subsets of P₂ are subspaces of P₂? LET P₂ A. {p(t) | p' (t) is constant} B. {p(t) | p(−t) = −p(t) for all t} c. {p(t) | f p(t)dt = 0}

denote the vector space of polynomials of degree up to 2. Which of the following subsets of P₂ are subspaces of P₂? LET P₂ A. {p(t) | p' (t) is constant} B. {p(t) | p(−t) = −p(t) for all t} c. {p(t) | f p(t)dt = 0}

Elementary Linear Algebra (MindTap Course List)
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 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P₂? LET P₂ □A. {p(t) | p' (t) is constant } B. {p(t) | p(-t) = -p(t) for all t} c. {p(t) | p(t)dt = 0} D. {p(t) | p' (4) = p(0)} □E. {p(t) | p' (t) + 7p(t) + 5 = 0} F. {p(t) | P(8) = 3}
Transcribed Image Text:denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P₂? LET P₂ □A. {p(t) | p' (t) is constant } B. {p(t) | p(-t) = -p(t) for all t} c. {p(t) | p(t)dt = 0} D. {p(t) | p' (4) = p(0)} □E. {p(t) | p' (t) + 7p(t) + 5 = 0} F. {p(t) | P(8) = 3}
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