4. Use Gauss-Jordan Elimination (with elimination matrices) to solve the following system of equations. Please identify your steps in the process, write your solution as a set, and describe the physical shape of the solution set. 4x - 2y + 6z = 8 - 2x + y + 9z = 12 - 6x + 3y - 9z = 12 4,3,2)

Solve the following system of linear equations using Gauss Elimination Method. Perform your calculation using 3 significant figures. 2.51x, + 1.48x, + 4.53x, = 5.56 1.48x, + 0.93x, - 1.30x, 2.68x, + 3.04x, - 1.48x, = - 0.75 -1.84

2. Solve the system of linear equation as follows: 2x1 + x2 4.x1 + 5x2 – 3x3 + 6x4 -2x1 + 5x2 – 2x3 + 6x4 4.x1+ 11x2 – 4.x3 + 8x4 x3 + 2x4 %3D 9 4 -

Solve the following system of linear equations: 5x2+10x3 = -60 5x2+5x3 = -35 x1-3x2-x3 = 9 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. If the system has infinitely many solutions, select "The system has at least one solution". Your answer may use expressions involving the parameters 1, s, and t. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has no solutions The system has no solutions The system has at least one solution Row-ecreion form of augmented matrix: 000 000 000