Mathematics · Linear Algebra
Let V = {A ∈ M3×3(ℝ) : At + A ∈ ℝ · I} where I is the 3×3 identity matrix. Consider the quadratic form defined on V by q(A) = Trace(A)2 - Trace(A2). What is the signature of this quadratic form?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(- - - 0)
- 2(+ - - -)✓
- 3(+ 0 0 0)
- 4(+ + + +)
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(+ - - -)
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