Please help me how to solve this problems.

8 8 2 7 4. D = 2 5. E = -2 ON 2 -9 7. G = UI O O 6. F = 3 4 -3 7 3 -7 3 5. 5. Consider the linear system 4x1 - 2x2 - 3x3 = 8 5x1 + 3x2 - 4x3 = 4 6x1 - 4x2 - 5x3 = 12 a. Find all solutions, if any exist, by using the Gaussian elimination method. b. Find all solutions, if any exist, by using Gauss - Jordan reduction method.READ carefully and understand the questions. Show all your work. 1. Given the system of equations, determine whether the equations are consistent or inconsistent. If the equations are consistent, find the solution set. 4x - y = 1 2x - 5y = 4 (2x - 3y - 5z = 4 a) 2x+ y = 5 b) 3x - 2y =-5 chx + 7y+6z =- 7 (5x - 2y =- 3 -3x + 4y = 1 (7x - 2y - 92 = 6 2. Given the matrices 2 A -3 -1 4 0 B = [7 2] 1 -4 What is each of the following: a) the order of A; b) the order of B; c) the element in the second row and third column of A; d) the zero matrix of the same order as A; e) the product of 6 and B? 3. Let B = 2 C = WUT W 3 A =2 1 4 12 -4 5 -1 E =0 1 D= 1 31 and 2 4 F = L3 2 3 5] Compute if it is possible. a) 2C - 3E d) (An) b) CB + D e) 2F - 3(AE) C) (AB) f) (C + E) and CT + E 4. Given the matrices, identify the type of each matrix; (square matrix, identity, upper triangular, lower triangular, symmetric, skew- symmetric, zero, diagonal, and scalar) -1 1 . A = 2 1 2. B = 0 o 1 0 3. C = OON 2 0 0