Mathematics · Linear Algebra
Let n > 1 be a fixed natural number. Which of the following defines a valid inner product on the vector space of n × n real symmetric matrices?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1⟨A, B⟩ = trace(A) + trace(B)
- 2⟨A, B⟩ = determinant(AB)
- 3⟨A, B⟩ = trace(AB)✓
- 4⟨A, B⟩ = (trace(A))(trace(B))
Correct answer
⟨A, B⟩ = trace(AB)
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