Mathematics · Quadratic Forms
Consider the following quadratic forms over &mathbb;R: (a) 6X2 − 13XY + 6Y2 (b) X2 − XY + 2Y2 (c) X2 − XY − 2Y2 Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Quadratic form (c) is positive definite.
- 2Quadratic form (b) is positive definite.✓
- 3Quadratic forms (a) and (c) are equivalent.
- 4Quadratic forms (a) and (b) are equivalent.
Correct answer
Quadratic form (b) is positive definite.
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