Which of the following functions defines an inner product on ℝ2?

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Mathematics · Linear Algebra

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

⟨(x1, x2)T, (y1, y2)T⟩ = x1y1 + x1y2 + x2y1 + 2x2y2

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Answer 1

⟨(x1, x2)T, (y1, y2)T⟩ = x1y1 - x1y2 - x2y1 - x2y2

Answer 2

⟨(x1, x2)T, (y1, y2)T⟩ = x1y1 + x1y2 + x2y1 + x2y2

Answer 3

⟨(x1, x2)T, (y1, y2)T⟩ = x1y1 + x1y2 + x2y1 + 2x2y2

Answer 4

⟨(x1, x2)T, (y1, y2)T⟩ = x1y1 + 2x1y2 + 2x2y1 + x2y2

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