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

Find the values of x, y, z if the matrix `A=[0 2y z x y-z x-y z]` satisfy the equation `A^(prime)A=I` .

A

`x=pm 1//sqrt(6), y = pm 1//sqrt(6), z= pm 1//sqrt(3)`

B

`x=pm 1//sqrt(2), y = pm 1//sqrt(6), z= pm 1//sqrt(3)`

C

`x=pm 1//sqrt(2), y = pm 1//sqrt(6), z= pm 1//sqrt(3)`

D

`x=pm 1//sqrt(2), y = pm 1//3, z= pm 1//sqrt(2)`

Text Solution

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The correct Answer is:
B
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