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The total number of matrices A = ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ − − 1 y x 2 1 y x 2 1 y 2 0 , (x, y ∈ R, x ≠ y) for which A T A = 3I 3 is :

1. 2
2. 4
3. 3
4. 6

Correct answer: 4

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