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Question

Find the values of x,y and z if the matrix A=02yzxyzxyz satisfies the equation A'A=I.


Solution

Given A'A =I.
02yzxyzxyz02yzxyzxyz=I0xx2yyyzzz02yzxyzxyz=1000100012x20006y20003z2=100010001
On comparing the corresponding elements, we have
2x2=1,6y2=1,3z2=1x2=12,y2=16,z2=13x=±12,y=±16,z=±13

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