Linear Algebra Question

For the following system of linear equations 2x1 - X2 - X3 = 3 3x1 - X2 + 2x3 = 26 2x1 + 4x2 - 2x3 = -10 i. Write down the augmented matrix [A b] of the system. ii. Use Gaussian Elimination to reduce [A b] to row echelon form. iii. Use Rank to describe the type of solution. iv. Hence solve the system of equations. V. Check the solution by substituting it back into all of the initial equations