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If matrix A=[(0, 2,y),( z, x, y),(-z, x-...

If matrix `A=[(0, 2,y),( z, x, y),(-z, x-y, z)]` satisfies `A^T=A^(-1)` , find `x ,\ y ,\ zdot`

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`A=[(0, 2,y),( z, x, y),(-z, x-y, z)]`
`A^T=[(0,z,-z),(2,x,x-y),(y,y,x)]`
We know `A*A^T=I`
`[(0, 2,y),( z, x, y),(-z, x-y, z)]``=[(0,z,-z),(2,x,x-y),(y,y,x)]`=`[(1,0,0),(0,1,0),(0,0,1)]`
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