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Find the values of x ,\ \ y\ ,\ z if the...

Find the values of `x ,\ \ y\ ,\ z` if the matrix `A=[0 2y z x y-z x-y z]` satisfy the equation `A^T\ A=I_3` .

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The correct Answer is:
`x= pm (1)/(sqrt(2)), y=pm (1)/(sqrt(6)), z=pm (1)/(sqrt(3))`
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