Mathematics · Linear Algebra
Let V be the vector space of all polynomials with real coefficients of degree not exceeding 2. Let f(x) = x - 1, g(x) = x + 1, h(x) = x2 - 1, and j(x) = x2 + 1. Then the set {f, g, h, j} is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1linearly independent
- 2linearly dependent because f · g = h✓
- 3linearly dependent because f · g + 2 = j
- 4linearly dependent because f - g + j = h
Correct answer
linearly dependent because f · g = h
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