Question: Question 2. Consider the system 2x +y + 3z = 5 x - 2y - 8z = 1 3x + 2y + 4z = 3

Question 2. Consider the system 2x +y + 3z = 5 x - 2y - 8z = 1 3x + 2y + 4z = 3 (a) Try to solve the system using Gaussian elimination. In each step, indicate clearly which elementary row operation you are using. Does the system have solution (s)? If yes, find the solution(s). If not, explain why not. (b) Find the rank of the coefficient matrix. Question 3. Consider the system 2x + y + 3z 5 x - 2y - 8z = 1 7xty+z = 2 (a) Try to solve the system using Gaussian elimination. In each step, indicate clearly which elementary row operation you are using. Does the system have solution(s)? If yes, find the solution(s). If not, explain why not. (b) Find the rank of the coefficient matrix. Question 4. Consider the system 2x + 3y = 5 katy 4 where k is a parameter. (a) For what value(s) of k does the system have no solution? (b) For what value(s) of k does the system have a unique solution? Find the solution in terms of k

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