The total number of matricesA=⎡⎢⎣02y12xy−12x−y1⎤⎥⎦,(x, – InterviewSolution

1.	The total number of matricesA=⎡⎢⎣02y12xy−12x−y1⎤⎥⎦,(x,y∈R, x≠y)for which ATA=3I3 is :
Answer» The total number of matrices $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 2 y & 1 2 x & y & - 1 2 x & - y & 1 \end{matrix} ⎤ ⎥ ⎦, (x, y \in R, x \neq y)$ for which $A^{T} A = 3 I_{3}$ is :

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