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2. Given below are subsets of different vector spaces. Determine whether or not each subset is a subspace. You must prove your claim either way. a 2a1 a. The subset of M32 consisting of all matrices of the form 3a 4a 5a 6al b. The set of all polynomials in P₂ of the form ax² + bx + c, where c≥ 0.

2. Given below are subsets of different vector spaces. Determine whether or not each subset is a subspace. You must prove your claim either way. a 2a1 a. The subset of M32 consisting of all matrices of the form 3a 4a 5a 6al b. The set of all polynomials in P₂ of the form ax² + bx + c, where c≥ 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 44E
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2. Given below are subsets of different vector spaces. Determine whether or not each subset is a subspace. You must prove your claim either way. a 2a1 a. The subset of M32 consisting of all matrices of the form 3a 4a 5a 6a b. The set of all polynomials in P₂ of the form ax² + bx + c, where c≥ 0.
Transcribed Image Text:2. Given below are subsets of different vector spaces. Determine whether or not each subset is a subspace. You must prove your claim either way. a 2a1 a. The subset of M32 consisting of all matrices of the form 3a 4a 5a 6a b. The set of all polynomials in P₂ of the form ax² + bx + c, where c≥ 0.
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