Let A= [ array rrr 2 & -1 & 3 1 & 1 & -1 0 & 0 & 1 array ] and D= [ array l 0 1 0 array ] . The system A X=D has

Step-by-step solution

A= [ array ccc 2 & -1 & 3 1 & 1 & -1 0 & 0 & 1 array ], D= [ array l 0 1 0 array ] Given, A X=D [ array ccc 2 & -1 & 3 1 & 1 & -1 0 & 0 & -1 array ] [ array l x y z array ]= [ array l 0 1 0 array ]2 x-y+3 z=0x+y-z=10 x+0 y-z=0 = | array ccc 2 & -1 & 3 1 & 1 & -1 0 & 0 & -1 array |=2(-1+0)+1(-1+0)+3(0)=-2-1 =-3 0 System of equations have unique solution. Hence, option (2) is correct.