a. Find the reduced row-echelon form of the augmented matrix for the following linear system and then calculate the solution(s). 2x1+x2+4x3 = 3 21+2x2+4x3 = 6 -3x1+3x2 x3 = 3 b. If the row-echelon form of the augmented matrix for a linear system is find the solutions of the linear system. 2 3 0-1 1 00 0 0 c. Solve the following linear system using Cramer's rule. - x1 2x2+x3 = 2 - 2x1+x2 2x3 = -1 -3x1 + 2x3 = 1 d. Given two vectors in R: -2 --(0)---(9) 1 2 1 and v= 3 i. Calculate the norm of u. ii. Find the orthogonal projection of u on v (projyu). iii. Find the distance between u and v.