Mathematics · Quadratic Forms
Find the matrix representing the quadratic form q on ℝ3 given by q(x, y, z) = x2 - z2 + 3xy.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1⌈1 -6 0⌉ |-6 0 3| ⌊0 3 -1⌋
- 2⌈1 3 0⌉ |3 0 -6| ⌊0 -6 -1⌋
- 3⌈1 3/2 0⌉ |3/2 -1 -6| ⌊0 0 0⌋
- 4⌈1 3/2 0⌉ |3/2 0 0| ⌊0 0 -1⌋✓
Correct answer
⌈1 3/2 0⌉ |3/2 0 0| ⌊0 0 -1⌋
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