(3) Consider the following homogeneous linear system: x+y2z=0x2y+z=02x+y+z=0 (a) Write out the augmented matrix of the system. (b) Use elementary row operations to obtain the reduced row-echelon form of this matrix. (c) Use the reduced row echelon form found in part (b) to find all solutions of the above system. (4) For which values of kR are the vectors u=(0,1,k),v=(1,k,0), and w=(1,5,6) linearly dependent