1. [4 marks] By using Gaussian Elimination method (augmented matrix), solve the system. If there are no solutions, state so and if there are infinite solutions, use parameters to formulate the solutions. For full mark, show all steps exactly similar to the class work. 2x-y+2z=6 -xty+z=0 -x-3z=-62. [4 marks] In solving a 3x3 system of linear equations by Gaussian elimination method, after performing several elementary row operations, the augmented matrix below is obtained: 18 0 0 3 0 0 5 12 0 1 0 2 Is the matrix in RE or RRE form? If not, explain why (which condition(s) are not met). Continue the elementary row operations required for finding the solution and solve the system. Show all the work similar to the class work.Elimination method Gaussian Solve the following systems by using elimination: 2x +5y =17 17 2 5 JR, = 53 R, - 5R2 qR,x 18 45 153 9x-4y =12 9 12 R ,x 9 RX - 2RZ 53 1 129 |R, = R 2 - 2R = -19 +8 -24 0 53 129 106 0 1 256 7 RIS R, A106 D 128 53 O 53 1 129 RX = R2 : 53 O 129 53 53R, =106 265 901 The system has - 5 Ry= 0 -265- 645 a unique solution : x = 128 53 > 4 = 129 ) 106 25 6 5x-3y+4z =-1 2x + 5y-62=-26 7x+3y-2z =-25 we did