The solution of the equation [ array rrr 1 & 0 & 1 -1 & 1 & 0 0 & -1 & 1 array ] [ array l x y z array ]= [ array l 1 1 2 array ] is (x, y, z)=

Step-by-step solution

aligned [ array rrr 1 & 0 & 1 -1 & 1 & 0 0 & -1 & 1 array ] [ array l x y z array ]= [ array l 1 1 2 array ] [ array r x+0 y+z -x+y+0 z 0 x-y+z array ]= [ array l 1 1 2 array ] x+z=1, -x+y=1 aligned and -y+z=2 On solving these equations, we get x=-1, y=0, z=2