Mathematics · Linear Algebra
Let {v 1 , v 2 , v 3 } be an orthonormal basis of ℝ 3 . Let V be the 3 × 3 matrix whose columns are v 1 , v 2 , v 3 . Which of the following statements is NOT necessarily true?
- 1The determinant of V is non-zero
- 2V = V T✓
- 3V T V = I
- 4V V T = I
Correct answer
V = V T
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