Find the value of x,y and z: `x+y+z=5, x-y+z=6, x+y-z=11`

Find the value of x,y, and z if A=[[0,2y,z],[x,y,-z],[x,-y,z]] satisfies A^1=A^(-1) .

Find the values of x, y and z if {:[(x+y+z),(z+x),(y+z)]={:[(9),(5),(7)]

Find the values of x,y and z , if [{:(x+y,),(x+z,),(y+z,):}]=[{:(9,),(5,),(7,):}] .

Find the value of x, y, z if ((x-3, 3x-z), (x+y+7, x+y+z))=((1, 0), (1, 6))

Find the value of x,y and z from the equation: [[x+y+z], [x+z],[y+z]]=[[9],[5],[7]]

Find the values of x, y, z , if the matrix A=[[0, 2 y, z],[ x, y, -z],[ x, -y, z]] satisfy the equation A^' A=I

Find the values of x,y,z if the matrix A=[(0,3y,z),(x,y,-z),(x,-y,z)] satisfy the equation A'A=I .