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The total number of matrices A =((0,2y,1),(2x,y,-1),(2x,-y,1)) (x, y∈R, x ∈ y) for which ATA = 3I3 is :

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The total number of matrices A =((0,2y,1),(2x,y,-1),(2x,-y,1))  (x, y∈R, x ∈ y) for which ATA = 3I3 is :

(1) 2  (2) 4  (3) 3  (4) 6 

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Correct option  (2) 4

Explanation:

4 materices are possible 

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