Math Problem Statement
Diketahui P₂ = {ax² + bx + cla, b, c e IR) ruang vector atas R. Selidiki apakah {x+1, x2-1, 2x-1} merupakan himpunan pembangun minimal untuk P2.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Polynomial Vector Spaces
Basis and Linear Independence
Formulas
p(x) = ax² + bx + c
Linear combination of polynomials: p(x) = α₁(x+1) + α₂(x²-1) + α₃(2x-1)
Theorems
Linear independence test
Minimal spanning set
Suitable Grade Level
University level - Linear Algebra