Mathematics · Linear Algebra
Which of the following statements regarding quadratic forms is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1There are exactly three non-zero quadratic forms of rank 2 up to isomorphism over ℝ and ℂ
- 2There are exactly three non-zero quadratic forms of rank ≤ 3 up to isomorphism over ℂ
- 3Any two quadratic forms of rank 3 in 3 variables are isomorphic over ℂ✓
- 4Any two quadratic forms of rank 3 in 3 variables are isomorphic over ℝ
Correct answer
Any two quadratic forms of rank 3 in 3 variables are isomorphic over ℂ
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